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40377427316433 = 3529173317104479
BaseRepresentation
bin10010010111001000110100…
…01101100100111011010001
312021222001012100000020200000
421023210122031210323101
520243020432343111213
6221513044541320213
711335113201230454
oct1113443215447321
9167861170006600
1040377427316433
1111957a750a0189
1246414ba866069
13196b7625308bc
149d83c682549b
154a0499ab2c73
hex24b91a364ed1

40377427316433 has 96 divisors (see below), whose sum is σ = 63129473971200. Its totient is φ = 25758076329216.

The previous prime is 40377427316407. The next prime is 40377427316437. The reversal of 40377427316433 is 33461372477304.

40377427316433 is a `hidden beast` number, since 4 + 0 + 377 + 42 + 73 + 164 + 3 + 3 = 666.

It is not a de Polignac number, because 40377427316433 - 225 = 40377393762001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40377427316433.

It is not an unprimeable number, because it can be changed into a prime (40377427316437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386412288 + ... + 386516766.

It is an arithmetic number, because the mean of its divisors is an integer number (657598687200).

Almost surely, 240377427316433 is an apocalyptic number.

It is an amenable number.

40377427316433 is a deficient number, since it is larger than the sum of its proper divisors (22752046654767).

40377427316433 is a wasteful number, since it uses less digits than its factorization.

40377427316433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105013 (or 105001 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 54.

The spelling of 40377427316433 in words is "forty trillion, three hundred seventy-seven billion, four hundred twenty-seven million, three hundred sixteen thousand, four hundred thirty-three".

Divisors: 1 3 9 27 29 81 87 173 243 261 317 519 783 951 1557 2349 2853 4671 5017 7047 8559 9193 14013 15051 25677 27579 42039 45153 54841 77031 82737 104479 135459 164523 248211 313437 406377 493569 744633 940311 1219131 1480707 1590389 2233899 2820933 3029891 4442121 4771167 8462799 9089673 13326363 14313501 18074867 25388397 27269019 33119843 42940503 54224601 81807057 99359529 128821509 162673803 245421171 298078587 386464527 488021409 524171143 736263513 894235761 960475447 1464064227 1572513429 2682707283 2881426341 4392192681 4717540287 5729732839 8048121849 8644279023 14152620861 17189198517 25932837069 42457862583 51567595551 77798511207 127373587749 154702786653 166162252331 233395533621 464108359959 498486756993 1392325079877 1495460270979 4486380812937 13459142438811 40377427316433