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40904320107 = 37219312112239
BaseRepresentation
bin100110000110000101…
…100110010001101011
310220120200200202110210
4212012011212101223
51132233001220412
630442521312203
72645434661400
oct460605462153
9126520622423
1040904320107
1116390471132
127b16935663
133b1b52c411
141da07302a7
1510e60b883c
hex98616646b

40904320107 has 96 divisors (see below), whose sum is σ = 69294489600. Its totient is φ = 21318292800.

The previous prime is 40904320103. The next prime is 40904320111. The reversal of 40904320107 is 70102340904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40904320103) and next prime (40904320111).

It is not a de Polignac number, because 40904320107 - 22 = 40904320103 is a prime.

It is a super-3 number, since 3×409043201073 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (40904320103) 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, 18267894 + ... + 18270132.

It is an arithmetic number, because the mean of its divisors is an integer number (721817600).

Almost surely, 240904320107 is an apocalyptic number.

40904320107 is a deficient number, since it is larger than the sum of its proper divisors (28390169493).

40904320107 is a wasteful number, since it uses less digits than its factorization.

40904320107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 40904320107 in words is "forty billion, nine hundred four million, three hundred twenty thousand, one hundred seven".

Divisors: 1 3 7 19 21 31 49 57 93 133 147 211 217 399 589 633 651 931 1477 1519 1767 2239 2793 4009 4123 4431 4557 6541 6717 10339 12027 12369 15673 19623 28063 28861 31017 42541 45787 47019 69409 84189 86583 109711 124279 127623 137361 196441 208227 297787 320509 329133 372837 472429 485863 589323 869953 893361 961527 1318771 1417287 1457589 2084509 2609859 3307003 3401041 3956313 6089671 6253527 8976151 9231397 9921009 10203123 14645299 18269013 23149021 26928453 27694191 43935897 62833057 64619779 69447063 102517093 188499171 193859337 278260681 307551279 439831399 717619651 834782043 1319494197 1947824767 2152858953 5843474301 13634773369 40904320107