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41122100140 = 225111914896607
BaseRepresentation
bin100110010011000100…
…010111001110101100
310221010212111010111221
4212103010113032230
51133204224201030
630520301153124
72654021040532
oct462304271654
9127125433457
1041122100140
1116492398530
127b7785b7a4
133b546a0544
141dc1620152
15110a285e7a
hex9931173ac

41122100140 has 96 divisors (see below), whose sum is σ = 99246873600. Its totient is φ = 14154808320.

The previous prime is 41122100119. The next prime is 41122100221. The reversal of 41122100140 is 4100122114.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6220717 + ... + 6227323.

It is an arithmetic number, because the mean of its divisors is an integer number (1033821600).

Almost surely, 241122100140 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 41122100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49623436800).

41122100140 is an abundant number, since it is smaller than the sum of its proper divisors (58124773460).

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

41122100140 is a wasteful number, since it uses less digits than its factorization.

41122100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8135 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41122100140 its reverse (4100122114), we get a palindrome (45222222254).

The spelling of 41122100140 in words is "forty-one billion, one hundred twenty-two million, one hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 1489 2090 2978 4180 5956 6607 7445 13214 14890 16379 26428 28291 29780 32758 33035 56582 65516 66070 72677 81895 113164 125533 132140 141455 145354 163790 251066 282910 290708 311201 327580 363385 502132 565820 622402 627665 726770 1244804 1255330 1380863 1453540 1556005 2510660 2761726 3112010 5523452 6224020 6904315 9837823 13808630 19675646 27617260 39351292 49189115 98378230 108216053 186918637 196756460 216432106 373837274 432864212 541080265 747674548 934593185 1082160530 1869186370 2056105007 2164321060 3738372740 4112210014 8224420028 10280525035 20561050070 41122100140