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104003411043744 = 25327113613373631
BaseRepresentation
bin10111101001011100101110…
…010111101110010110100000
3111122020121222112111012120100
4113221130232113232112200
5102112442441211344434
61005110301335142400
730622666323430332
oct2751345627562640
9448217875435510
10104003411043744
1130158665197463
12b7b8683b14a00
134605630833154
141b97b13195452
15c05579e64699
hex5e972e5ee5a0

104003411043744 has 144 divisors (see below), whose sum is σ = 299948164798464. Its totient is φ = 34176922483200.

The previous prime is 104003411043743. The next prime is 104003411043781. The reversal of 104003411043744 is 447340114300401.

104003411043744 is a `hidden beast` number, since 1 + 0 + 40 + 0 + 34 + 110 + 437 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104003411043699 and 104003411043708.

It is not an unprimeable number, because it can be changed into a prime (104003411043743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278171809 + ... + 278545439.

It is an arithmetic number, because the mean of its divisors is an integer number (2082973366656).

Almost surely, 2104003411043744 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 104003411043744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149974082399232).

104003411043744 is an abundant number, since it is smaller than the sum of its proper divisors (195944753754720).

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

104003411043744 is a wasteful number, since it uses less digits than its factorization.

104003411043744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387331 (or 387320 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 104003411043744 in words is "one hundred four trillion, three billion, four hundred eleven million, forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 13613 20448 27226 40839 54452 81678 108904 122517 163356 217808 245034 326712 373631 435616 490068 653424 747262 966523 980136 1120893 1306848 1494524 1933046 1960272 2241786 2899569 2989048 3362679 3866092 3920544 4483572 5799138 5978096 6725358 7732184 8698707 8967144 11598276 11956192 13450716 15464368 17397414 17934288 23196552 26527801 26901432 30928736 34794828 35868576 46393104 53055602 53802864 69589656 79583403 92786208 106111204 107605728 139179312 159166806 212222408 238750209 278358624 318333612 424444816 477500418 636667224 848889632 955000836 1273334448 1910001672 2546668896 3820003344 5086238803 7640006688 10172477606 15258716409 20344955212 30517432818 40689910424 45776149227 61034865636 81379820848 91552298454 122069731272 162759641696 183104596908 244139462544 361122955013 366209193816 488278925088 722245910026 732418387632 1083368865039 1444491820052 1464836775264 2166737730078 2888983640104 3250106595117 4333475460156 5777967280208 6500213190234 8666950920312 11555934560416 13000426380468 17333901840624 26000852760936 34667803681248 52001705521872 104003411043744