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23141056770 = 23251324732371
BaseRepresentation
bin10101100011010100…
…001000000100000010
32012201201222111002200
4111203110020010002
5334343102304040
614344133054030
71446312510546
oct254324100402
965651874080
1023141056770
1198a5583507
124599a87316
13224a379500
141197529a26
159068c4630
hex563508102

23141056770 has 144 divisors (see below), whose sum is σ = 66539221632. Its totient is φ = 5574890880.

The previous prime is 23141056753. The next prime is 23141056801. The reversal of 23141056770 is 7765014132.

It is a happy number.

23141056770 is a `hidden beast` number, since 2 + 3 + 14 + 10 + 567 + 70 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 698685 + ... + 731055.

It is an arithmetic number, because the mean of its divisors is an integer number (462077928).

Almost surely, 223141056770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141056770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33269610816).

23141056770 is an abundant number, since it is smaller than the sum of its proper divisors (43398164862).

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

23141056770 is a wasteful number, since it uses less digits than its factorization.

23141056770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32457 (or 32441 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 23141056770 in words is "twenty-three billion, one hundred forty-one million, fifty-six thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 169 195 234 235 282 338 390 423 470 507 585 611 705 845 846 1014 1170 1222 1410 1521 1690 1833 2115 2535 3042 3055 3666 4230 5070 5499 6110 7605 7943 9165 10998 15210 15886 18330 23829 27495 32371 39715 47658 54990 64742 71487 79430 97113 119145 142974 161855 194226 238290 291339 323710 357435 420823 485565 582678 714870 841646 971130 1262469 1456695 1521437 2104115 2524938 2913390 3042874 3787407 4208230 4564311 5470699 6312345 7574814 7607185 9128622 10941398 12624690 13692933 15214370 16412097 18937035 19778681 22821555 27353495 27385866 32824194 37874070 39557362 45643110 49236291 54706990 59336043 68464665 82060485 98472582 98893405 118672086 136929330 164120970 178008129 197786810 246181455 257122853 296680215 356016258 492362910 514245706 593360430 771368559 890040645 1285614265 1542737118 1780081290 2314105677 2571228530 3856842795 4628211354 7713685590 11570528385 23141056770