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40381332364191 = 3721383353721219
BaseRepresentation
bin10010010111010000000101…
…11110001001101110011111
312021222102021111001020010110
421023220002332021232133
520243101432041123231
6221514532240141103
711335312026464400
oct1113500276115637
9167872244036113
1040381332364191
1111959699420385
12464220a607793
13196bc35588250
149d86772dd9a7
154a062782e046
hex24ba02f89b9f

40381332364191 has 96 divisors (see below), whose sum is σ = 68456263760640. Its totient is φ = 20983774242816.

The previous prime is 40381332364171. The next prime is 40381332364231. The reversal of 40381332364191 is 19146323318304.

It is not a de Polignac number, because 40381332364191 - 213 = 40381332355999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40381332364191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40381332364171) 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, 55629780 + ... + 56350998.

It is an arithmetic number, because the mean of its divisors is an integer number (713086080840).

Almost surely, 240381332364191 is an apocalyptic number.

40381332364191 is a deficient number, since it is larger than the sum of its proper divisors (28074931396449).

40381332364191 is a wasteful number, since it uses less digits than its factorization.

40381332364191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721685 (or 721678 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 40381332364191 in words is "forty trillion, three hundred eighty-one billion, three hundred thirty-two million, three hundred sixty-four thousand, one hundred ninety-one".

Divisors: 1 3 7 13 21 39 49 83 91 147 249 273 353 581 637 1059 1079 1743 1911 2471 3237 4067 4589 7413 7553 12201 13767 17297 22659 29299 32123 51891 52871 87897 96369 158613 205093 224861 380887 615279 674583 721219 1142661 1435651 2163657 2666209 4306953 5048533 7998627 9375847 15145599 18663463 28127541 35339731 55990389 59861177 65630929 106019193 179583531 196892787 254590307 419028239 459416503 763770921 778195301 1257084717 1378249509 1782132149 2334585903 2933197673 3309673991 5346396447 5447367107 8799593019 9929021973 12474925043 16342101321 21130995481 23167717937 37424775129 38131569749 63392986443 69503153811 114394709247 147916968367 162174025559 274702941253 443750905101 486522076677 824108823759 1035418778569 1922920588771 3106256335707 5768761766313 13460444121397 40381332364191