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42614219424 = 2537581310909
BaseRepresentation
bin100111101100000000…
…010110001010100000
311001222212011122101010
4213230000112022200
51144233220010144
631324322340520
73036006613530
oct475400261240
9131885148333
1042614219424
1117088685867
1283134ba740
13403186376a
1420c38714c0
1511962755b9
hex9ec0162a0

42614219424 has 96 divisors (see below), whose sum is σ = 127876371840. Its totient is φ = 12172280832.

The previous prime is 42614219423. The next prime is 42614219441. The reversal of 42614219424 is 42491241624.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42614219423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3900882 + ... + 3911790.

It is an arithmetic number, because the mean of its divisors is an integer number (1332045540).

Almost surely, 242614219424 is an apocalyptic number.

It is an amenable number.

42614219424 is an abundant number, since it is smaller than the sum of its proper divisors (85262152416).

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

42614219424 is a wasteful number, since it uses less digits than its factorization.

42614219424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16742 (or 16734 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The spelling of 42614219424 in words is "forty-two billion, six hundred fourteen million, two hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5813 10909 11626 17439 21818 23252 32727 34878 40691 43636 46504 65454 69756 76363 81382 87272 93008 122073 130908 139512 152726 162764 174544 186016 229089 244146 261816 279024 305452 325528 349088 458178 488292 523632 558048 610904 651056 916356 976584 1047264 1221808 1302112 1832712 1953168 2443616 3665424 3906336 7330848 63414017 126828034 190242051 253656068 380484102 443898119 507312136 760968204 887796238 1014624272 1331694357 1521936408 1775592476 2029248544 2663388714 3043872816 3551184952 5326777428 6087745632 7102369904 10653554856 14204739808 21307109712 42614219424