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41604131320146 = 23412713714760367
BaseRepresentation
bin10010111010110101101110…
…11101111111000101010010
312110022022112110000022010000
421131122313131333011102
520423120230104221041
6224252401333350430
711522541105223653
oct1135326735770522
9173268473008100
1041604131320146
111229023857052a
1247bb1ab498416
131a2a3393a0825
14a3b91774152a
154c2343d65bb6
hex25d6b777f152

41604131320146 has 80 divisors (see below), whose sum is σ = 94643951947776. Its totient is φ = 13658416115904.

The previous prime is 41604131319953. The next prime is 41604131320181. The reversal of 41604131320146 is 64102313140614.

41604131320146 is a `hidden beast` number, since 4 + 1 + 60 + 4 + 131 + 320 + 146 = 666.

It is a super-2 number, since 2×416041313201462 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41604131320146.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561546 + ... + 10198821.

Almost surely, 241604131320146 is an apocalyptic number.

41604131320146 is an abundant number, since it is smaller than the sum of its proper divisors (53039820627630).

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

41604131320146 is a wasteful number, since it uses less digits than its factorization.

41604131320146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760645 (or 14760636 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 41604131320146 in words is "forty-one trillion, six hundred four billion, one hundred thirty-one million, three hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 127 137 162 254 274 381 411 762 822 1143 1233 2286 2466 3429 3699 6858 7398 10287 11097 17399 20574 22194 34798 52197 104394 156591 313182 469773 939546 1409319 2818638 14760367 29520734 44281101 88562202 132843303 265686606 398529909 797059818 1195589727 1874566609 2022170279 2391179454 3749133218 4044340558 5623699827 6066510837 11247399654 12133021674 16871099481 18199532511 33742198962 36399065022 50613298443 54598597533 101226596886 109197195066 151839895329 163795792599 256815625433 303679790658 327591585198 513631250866 770446876299 1540893752598 2311340628897 4622681257794 6934021886691 13868043773382 20802065660073 41604131320146