Search a number
-
+
104041130401104 = 243131399583920411
BaseRepresentation
bin10111101001111111110110…
…100111101001110101010000
3111122101020100021010002111220
4113221333312213221311100
5102114102213340313404
61005135500244005040
730625503125611251
oct2751776647516520
9448336307102456
10104041130401104
1130172660845976
12b803a50090780
13460906225a310
141b998908d2b28
15c065366004d9
hex5e9ff69e9d50

104041130401104 has 160 divisors (see below), whose sum is σ = 289718456832000. Its totient is φ = 31982727329280.

The previous prime is 104041130401049. The next prime is 104041130401121. The reversal of 104041130401104 is 401104031140401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5097296659 + ... + 5097317069.

It is an arithmetic number, because the mean of its divisors is an integer number (1810740355200).

Almost surely, 2104041130401104 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 104041130401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144859228416000).

104041130401104 is an abundant number, since it is smaller than the sum of its proper divisors (185677326430896).

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

104041130401104 is a wasteful number, since it uses less digits than its factorization.

104041130401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27673 (or 27667 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 104041130401104 its reverse (401104031140401), we get a palindrome (505145161541505).

The spelling of 104041130401104 in words is "one hundred four trillion, forty-one billion, one hundred thirty million, four hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1399 2798 4197 5596 5839 8394 11192 11678 16788 17517 18187 20411 22384 23356 33576 35034 36374 40822 46712 54561 61233 67152 70068 72748 75907 81644 93424 109122 122466 140136 145496 151814 163288 218244 227721 244932 265343 280272 290992 303628 326576 436488 455442 489864 530686 607256 796029 872976 910884 979728 1061372 1214512 1592058 1821768 2122744 3184116 3643536 4245488 6368232 8168761 12736464 16337522 24506283 28554989 32675044 49012566 57109978 65350088 85664967 98025132 106193893 114219956 119179829 130700176 171329934 196050264 212387786 228439912 238359658 318581679 342659868 357539487 371214857 392100528 424775572 456879824 476719316 637163358 685319736 715078974 742429714 849551144 953438632 1113644571 1274326716 1370639472 1430157948 1484859428 1549337777 1699102288 1906877264 2227289142 2548653432 2860315896 2969718856 3098675554 4454578284 4648013331 5097306864 5720631792 5939437712 6197351108 8909156568 9296026662 12394702216 17818313136 18592053324 24789404432 37184106648 74368213296 166732580771 333465161542 500197742313 666930323084 1000395484626 1333860646168 2000790969252 2167523550023 2667721292336 4001581938504 4335047100046 6502570650069 8003163877008 8670094200092 13005141300138 17340188400184 26010282600276 34680376800368 52020565200552 104041130401104