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32144134014342 = 23273747146700503
BaseRepresentation
bin1110100111100001000111…
…01100001000010110000110
311012210221121222010011202200
413103300203230020112012
513203122141301424332
6152210451124215330
76525223414660440
oct723604354102606
9135727558104680
1032144134014342
11a273283723159
1237318b953a546
1314c2242b79a2c
147d1ada505490
153ab2218c117c
hex1d3c23b08586

32144134014342 has 96 divisors (see below), whose sum is σ = 83485496420352. Its totient is φ = 8745697127232.

The previous prime is 32144134014283. The next prime is 32144134014347. The reversal of 32144134014342 is 24341043144123.

32144134014342 is a `hidden beast` number, since 3 + 2 + 1 + 441 + 34 + 0 + 143 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32144134014297 and 32144134014306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32144134014347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73131138 + ... + 73569365.

It is an arithmetic number, because the mean of its divisors is an integer number (869640587712).

Almost surely, 232144134014342 is an apocalyptic number.

32144134014342 is an abundant number, since it is smaller than the sum of its proper divisors (51341362406010).

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

32144134014342 is a wasteful number, since it uses less digits than its factorization.

32144134014342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146700602 (or 146700599 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 32144134014342 its reverse (24341043144123), we get a palindrome (56485177158465).

The spelling of 32144134014342 in words is "thirty-two trillion, one hundred forty-four billion, one hundred thirty-four million, fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 47 63 74 94 111 126 141 222 259 282 329 333 423 518 658 666 777 846 987 1554 1739 1974 2331 2961 3478 4662 5217 5922 10434 12173 15651 24346 31302 36519 73038 109557 219114 146700503 293401006 440101509 880203018 1026903521 1320304527 2053807042 2640609054 3080710563 5427918611 6161421126 6894923641 9242131689 10855837222 13789847282 16283755833 18484263378 20684770923 32567511666 37995430277 41369541846 48264465487 48851267499 62054312769 75990860554 96528930974 97702534998 113986290831 124108625538 144793396461 227972581662 255112174717 289586792922 341958872493 434380189383 510224349434 683917744986 765336524151 868760378766 1530673048302 1785785223019 2296009572453 3571570446038 4592019144906 5357355669057 10714711338114 16072067007171 32144134014342