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41400636076272 = 243115911831112331
BaseRepresentation
bin10010110100111010101100…
…01101001111000011110000
312102120212021111210211101210
421122131112031033003300
520411302000313420042
6224015104544200120
711502045233206404
oct1132352615170360
9172525244724353
1041400636076272
1112211a02830930
124787879309040
131a140a8bbbb15
14a31b3137d104
154bbdd3b23a9c
hex25a75634f0f0

41400636076272 has 160 divisors (see below), whose sum is σ = 118663139358720. Its totient is φ = 12331856992000.

The previous prime is 41400636076243. The next prime is 41400636076277. The reversal of 41400636076272 is 27267063600414.

41400636076272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41400636076277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368503147 + ... + 368615477.

It is an arithmetic number, because the mean of its divisors is an integer number (741644620992).

Almost surely, 241400636076272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41400636076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59331569679360).

41400636076272 is an abundant number, since it is smaller than the sum of its proper divisors (77262503282448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41400636076272 is a wasteful number, since it uses less digits than its factorization.

41400636076272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124243 (or 124237 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

Adding to 41400636076272 its reverse (27267063600414), we get a palindrome (68667699676686).

The spelling of 41400636076272 in words is "forty-one trillion, four hundred billion, six hundred thirty-six million, seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 5192 7788 10384 11831 15576 23662 31152 35493 47324 70986 94648 112331 130141 141972 189296 224662 260282 283944 336993 390423 449324 520564 567888 673986 698029 780846 898648 1041128 1235641 1347972 1396058 1561692 1797296 2082256 2094087 2471282 2695944 2792116 3123384 3706923 4188174 4942564 5391888 5584232 6246768 6627529 7413846 7678319 8376348 9885128 11168464 13255058 14827692 15356638 16752696 19770256 19882587 23034957 26510116 29655384 30713276 33505392 39765174 46069914 53020232 59310768 61426552 72902819 79530348 92139828 106040464 122853104 145805638 159060696 184279656 218708457 291611276 318121392 368559312 437416914 583222552 874833828 1166445104 1328988061 1749667656 2657976122 3499335312 3986964183 5315952244 7973928366 10631904488 14618868671 15947856732 21263808976 29237737342 31895713464 43856606013 58475474684 63791426928 78410295599 87713212026 116950949368 156820591198 175426424052 233901898736 235230886797 313641182396 350852848104 470461773594 627282364792 701705696208 862513251589 940923547188 1254564729584 1725026503178 1881847094376 2587539754767 3450053006356 3763694188752 5175079509534 6900106012712 10350159019068 13800212025424 20700318038136 41400636076272