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40909144185 = 32571353188491
BaseRepresentation
bin100110000110011000…
…000000000001111001
310220121000202211212100
4212012120000001321
51132240220103220
630443212534013
72645523662640
oct460630000171
9126530684770
1040909144185
1116393166578
127b18481309
133b1c52b0c0
141da1228357
1510e671cd90
hex986600079

40909144185 has 96 divisors (see below), whose sum is σ = 88919970048. Its totient is φ = 16936957440.

The previous prime is 40909144163. The next prime is 40909144187. The reversal of 40909144185 is 58144190904.

It is a happy number.

40909144185 is a `hidden beast` number, since 40 + 9 + 0 + 91 + 441 + 85 = 666.

It is not a de Polignac number, because 40909144185 - 216 = 40909078649 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40909144185.

It is not an unprimeable number, because it can be changed into a prime (40909144187) 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, 122790 + ... + 311280.

It is an arithmetic number, because the mean of its divisors is an integer number (926249688).

Almost surely, 240909144185 is an apocalyptic number.

40909144185 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40909144185 is an abundant number, since it is smaller than the sum of its proper divisors (48010825863).

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

40909144185 is a wasteful number, since it uses less digits than its factorization.

40909144185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188575 (or 188572 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 40909144185 in words is "forty billion, nine hundred nine million, one hundred forty-four thousand, one hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 53 63 65 91 105 117 159 195 265 273 315 371 455 477 585 689 795 819 1113 1365 1855 2067 2385 3339 3445 4095 4823 5565 6201 10335 14469 16695 24115 31005 43407 72345 188491 217035 565473 942455 1319437 1696419 2450383 2827365 3958311 6597185 7351149 8482095 9990023 11874933 12251915 17152681 19791555 22053447 29970069 36755745 49950115 51458043 59374665 69930161 85763405 89910207 110267235 129870299 149850345 154374129 209790483 257290215 349650805 389610897 449551035 629371449 649351495 771870645 909092093 1048952415 1168832691 1948054485 2727276279 3146857245 4545460465 5844163455 8181828837 13636381395 40909144185