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104005152014120 = 23575927259230959
BaseRepresentation
bin10111101001011110010110…
…001000111111111100101000
3111122020210110212102122221122
4113221132112020333330220
5102113010022403422440
61005111150210154412
730623060423431610
oct2751362610777450
9448223425378848
10104005152014120
11301593789a3255
12b7b8a8ab82a08
13460584a425b36
141b97c3a4a3a40
15c0562cc0c7b5
hex5e979623ff28

104005152014120 has 128 divisors (see below), whose sum is σ = 271985886720000. Its totient is φ = 35053083217152.

The previous prime is 104005152014087. The next prime is 104005152014129. The reversal of 104005152014120 is 21410251500401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104005152014120.

It is not an unprimeable number, because it can be changed into a prime (104005152014129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450203201 + ... + 450434159.

It is an arithmetic number, because the mean of its divisors is an integer number (2124889740000).

Almost surely, 2104005152014120 is an apocalyptic number.

104005152014120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104005152014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135992943360000).

104005152014120 is an abundant number, since it is smaller than the sum of its proper divisors (167980734705880).

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

104005152014120 is a wasteful number, since it uses less digits than its factorization.

104005152014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258295 (or 258291 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 104005152014120 in words is "one hundred four trillion, five billion, one hundred fifty-two million, fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 280 295 413 472 590 826 1180 1652 2065 2360 3304 4130 8260 16520 27259 54518 109036 136295 190813 218072 230959 272590 381626 461918 545180 763252 923836 954065 1090360 1154795 1526504 1608281 1616713 1847672 1908130 2309590 3216562 3233426 3816260 4619180 6433124 6466852 7632520 8041405 8083565 9238360 11257967 12866248 12933704 13626581 16082810 16167130 22515934 27253162 32165620 32334260 45031868 54506324 56289835 64331240 64668520 68132905 90063736 95386067 109012648 112579670 136265810 190772134 225159340 272531620 381544268 450318680 476930335 545063240 763088536 953860670 1907721340 3815442680 6295711381 12591422762 25182845524 31478556905 44069979667 50365691048 62957113810 88139959334 125914227620 176279918668 220349898335 251828455240 352559837336 371446971479 440699796670 742893942958 881399593340 1485787885916 1762799186680 1857234857395 2600128800353 2971575771832 3714469714790 5200257600706 7428939429580 10400515201412 13000644001765 14857878859160 20801030402824 26001288003530 52002576007060 104005152014120