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104023350355041 = 321325730497113437
BaseRepresentation
bin10111101001101111010010…
…110110001010010001100001
3111122022112110010211011120100
4113221233102312022101201
5102113304310142330131
61005123400055533013
730624303410661255
oct2751572266122141
9448275403734510
10104023350355041
1130166067435127
12b80050968a169
13460748a77c4c0
141b98a853a0265
15c05d456e37e6
hex5e9bd2d8a461

104023350355041 has 48 divisors (see below), whose sum is σ = 162450486014544. Its totient is φ = 63762633326592.

The previous prime is 104023350355033. The next prime is 104023350355063. The reversal of 104023350355041 is 140553053320401.

104023350355041 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 33 + 50 + 35 + 504 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6694845753600 + 97328504601441 = 2587440^2 + 9865521^2 .

It is not a de Polignac number, because 104023350355041 - 23 = 104023350355033 is a prime.

It is a super-2 number, since 2×1040233503550412 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104023350354987 and 104023350355005.

It is not an unprimeable number, because it can be changed into a prime (104023350350041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 916957575 + ... + 917071011.

It is an arithmetic number, because the mean of its divisors is an integer number (3384385125303).

Almost surely, 2104023350355041 is an apocalyptic number.

It is an amenable number.

104023350355041 is a deficient number, since it is larger than the sum of its proper divisors (58427135659503).

104023350355041 is a wasteful number, since it uses less digits than its factorization.

104023350355041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144210 (or 144207 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 104023350355041 in words is "one hundred four trillion, twenty-three billion, three hundred fifty million, three hundred fifty-five thousand, forty-one".

Divisors: 1 3 9 13 39 117 257 771 2313 3341 10023 30069 30497 91491 113437 274473 340311 396461 1020933 1189383 1474681 3568149 4424043 7837729 13272129 23513187 29153309 70539561 87459927 101890477 262379781 305671431 378993017 917014293 1136979051 3410937153 3459488189 10378464567 31135393701 44973346457 134920039371 404760118113 889088464573 2667265393719 8001796181157 11558150039449 34674450118347 104023350355041