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42514784037 = 351137614229
BaseRepresentation
bin100111100110000101…
…000001111100100101
311001201221001210200000
4213212011001330211
51144032241042122
631310411211513
73033361462455
oct474605017445
9131657053600
1042514784037
111703753a560
1282a6146b99
134017089c5b
1420b4589d65
15118c6830ac
hex9e6141f25

42514784037 has 48 divisors (see below), whose sum is σ = 69509119680. Its totient is φ = 25753593600.

The previous prime is 42514784027. The next prime is 42514784041. The reversal of 42514784037 is 73048741524.

42514784037 is a `hidden beast` number, since 425 + 147 + 84 + 0 + 3 + 7 = 666.

It is not a de Polignac number, because 42514784037 - 24 = 42514784021 is a prime.

It is a super-3 number, since 3×425147840373 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42514783983 and 42514784001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42514784027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10051039 + ... + 10055267.

It is an arithmetic number, because the mean of its divisors is an integer number (1448106660).

Almost surely, 242514784037 is an apocalyptic number.

It is an amenable number.

42514784037 is a deficient number, since it is larger than the sum of its proper divisors (26994335643).

42514784037 is a wasteful number, since it uses less digits than its factorization.

42514784037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 42514784037 in words is "forty-two billion, five hundred fourteen million, seven hundred eighty-four thousand, thirty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 3761 4229 11283 12687 33849 38061 41371 46519 101547 114183 124113 139557 304641 342549 372339 418671 913923 1027647 1117017 1256013 3351051 3768039 10053153 11304117 15905269 47715807 143147421 174957959 429442263 524873877 1288326789 1574621631 3864980367 4723864893 14171594679 42514784037