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40114537875 = 335361271719
BaseRepresentation
bin100101010111000000…
…110100010110010011
310211112122120122221000
4211113000310112103
51124123310203000
630232305433043
72620034642316
oct452700642623
9124478518830
1040114537875
111601567a045
12793633b783
133a23a16259
141d278a497d
15109baae000
hex957034593

40114537875 has 128 divisors (see below), whose sum is σ = 75766579200. Its totient is φ = 20936880000.

The previous prime is 40114537769. The next prime is 40114537891. The reversal of 40114537875 is 57873541104.

40114537875 is a `hidden beast` number, since 40 + 1 + 1 + 4 + 537 + 8 + 75 = 666.

It is not a de Polignac number, because 40114537875 - 226 = 40047429011 is a prime.

It is a super-2 number, since 2×401145378752 (a number of 22 digits) contains 22 as substring.

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 40114537875.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55791766 + ... + 55792484.

It is an arithmetic number, because the mean of its divisors is an integer number (591926400).

Almost surely, 240114537875 is an apocalyptic number.

40114537875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40114537875 is a deficient number, since it is larger than the sum of its proper divisors (35652041325).

40114537875 is a wasteful number, since it uses less digits than its factorization.

40114537875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 40114537875 in words is "forty billion, one hundred fourteen million, five hundred thirty-seven thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 125 135 183 225 271 305 375 549 675 719 813 915 1125 1355 1525 1647 2157 2439 2745 3375 3595 4065 4575 6471 6775 7317 7625 8235 10785 12195 13725 16531 17975 19413 20325 22875 32355 33875 36585 41175 43859 49593 53925 60975 68625 82655 89875 97065 101625 131577 148779 161775 182925 194849 205875 219295 247965 269625 304875 394731 413275 446337 485325 584547 657885 743895 808875 914625 974245 1096475 1184193 1239825 1753641 1973655 2066375 2231685 2426625 2922735 3289425 3719475 4871225 5260923 5482375 5920965 6199125 8768205 9868275 11158425 11885789 14613675 16447125 18597375 24356125 26304615 29604825 35657367 43841025 49341375 55792125 59428945 73068375 106972101 131523075 148024125 178286835 219205125 297144725 320916303 534860505 657615375 891434175 1485723625 1604581515 2674302525 4457170875 8022907575 13371512625 40114537875