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104441314263520 = 2551390755360717
BaseRepresentation
bin10111101111110100100011…
…011011111100000111100000
3111200210111021202122122022211
4113233310203123330013200
5102142131302422413040
61010043402153011504
730666431062405303
oct2757644333740740
9450714252578284
10104441314263520
1130307349138883
12b8695149b3b94
134637a099c2590
141bb0db5276b3a
15c11b592168ea
hex5efd236fc1e0

104441314263520 has 96 divisors (see below), whose sum is σ = 266015779047648. Its totient is φ = 38520429078528.

The previous prime is 104441314263439. The next prime is 104441314263523. The reversal of 104441314263520 is 25362413144401.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104441314263523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25793799 + ... + 29566918.

It is an arithmetic number, because the mean of its divisors is an integer number (2770997698413).

Almost surely, 2104441314263520 is an apocalyptic number.

104441314263520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104441314263520 is an abundant number, since it is smaller than the sum of its proper divisors (161574464784128).

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

104441314263520 is a wasteful number, since it uses less digits than its factorization.

104441314263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55361652 (or 55361644 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 104441314263520 in words is "one hundred four trillion, four hundred forty-one billion, three hundred fourteen million, two hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 907 1040 1814 2080 3628 4535 7256 9070 11791 14512 18140 23582 29024 36280 47164 58955 72560 94328 117910 145120 188656 235820 377312 471640 943280 1886560 55360717 110721434 221442868 276803585 442885736 553607170 719689321 885771472 1107214340 1439378642 1771542944 2214428680 2878757284 3598446605 4428857360 5757514568 7196893210 8857714720 11515029136 14393786420 23030058272 28787572840 50212170319 57575145680 100424340638 115150291360 200848681276 251060851595 401697362552 502121703190 652758214147 803394725104 1004243406380 1305516428294 1606789450208 2008486812760 2611032856588 3263791070735 4016973625520 5222065713176 6527582141470 8033947251040 10444131426352 13055164282940 20888262852704 26110328565880 52220657131760 104441314263520