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104134033432242 = 233113123992357297
BaseRepresentation
bin10111101011010110011000…
…000100100101111010110010
3111122201010010211120001201000
4113223112120010211322302
5102122113000024312432
61005250303050222430
730635302265421402
oct2753263004457262
9448633124501630
10104134033432242
11301a8aa5116250
12b819a59124a16
134614a49641ba8
141ba0185194802
15c08b7276957c
hex5eb598125eb2

104134033432242 has 128 divisors (see below), whose sum is σ = 260698300416000. Its totient is φ = 30525097363200.

The previous prime is 104134033432183. The next prime is 104134033432279. The reversal of 104134033432242 is 242234330431401.

104134033432242 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 3 + 403 + 3 + 4 + 3 + 2 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104134033432197 and 104134033432206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42996538 + ... + 45353834.

It is an arithmetic number, because the mean of its divisors is an integer number (2036705472000).

Almost surely, 2104134033432242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104134033432242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130349150208000).

104134033432242 is an abundant number, since it is smaller than the sum of its proper divisors (156564266983758).

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

104134033432242 is a wasteful number, since it uses less digits than its factorization.

104134033432242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359749 (or 2359743 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 104134033432242 its reverse (242234330431401), we get a palindrome (346368363863643).

The spelling of 104134033432242 in words is "one hundred four trillion, one hundred thirty-four billion, thirty-three million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 2399 3069 4798 6138 7197 9207 14394 18414 21591 26389 43182 52778 64773 74369 79167 129546 148738 158334 223107 237501 446214 475002 669321 712503 818059 1338642 1425006 1636118 2007963 2357297 2454177 4015926 4714594 4908354 7071891 7362531 14143782 14725062 21215673 22087593 25930267 42431346 44175186 51860534 63647019 73076207 77790801 127294038 146152414 155581602 219228621 233372403 438457242 466744806 657685863 700117209 803838277 1315371726 1400234418 1607676554 1973057589 2411514831 3946115178 4823029662 5655155503 7234544493 11310311006 14469088986 16965466509 21703633479 33930933018 43407266958 50896399527 62206710533 101792799054 124413421066 152689198581 175309820593 186620131599 305378397162 350619641186 373240263198 525929461779 559860394797 1051858923558 1119720789594 1577788385337 1679581184391 1928408026523 3155576770674 3359162368782 3856816053046 4733365156011 5785224079569 9466730312022 11570448159138 17355672238707 34711344477414 52067016716121 104134033432242