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42141413014144 = 271300725311739
BaseRepresentation
bin10011001010011110011111…
…11100111111101010000000
312112012200100112022022000221
421211033033330333222000
521010421103212423034
6225343255312552424
711606421333245623
oct1145171774775200
9175180315268027
1042141413014144
1112478089027484
124887355b52714
131a68bc2378062
14a599260d5dba
154d12dc9d1bb4
hex2653cff3fa80

42141413014144 has 32 divisors (see below), whose sum is σ = 83960054049600. Its totient is φ = 21069085723392.

The previous prime is 42141413014109. The next prime is 42141413014153. The reversal of 42141413014144 is 44141031414124.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×421414130141442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10990974 + ... + 14320765.

It is an arithmetic number, because the mean of its divisors is an integer number (2623751689050).

Almost surely, 242141413014144 is an apocalyptic number.

It is an amenable number.

42141413014144 is a deficient number, since it is larger than the sum of its proper divisors (41818641035456).

42141413014144 is a wasteful number, since it uses less digits than its factorization.

42141413014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25324760 (or 25324748 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 42141413014144 its reverse (44141031414124), we get a palindrome (86282444428268).

The spelling of 42141413014144 in words is "forty-two trillion, one hundred forty-one billion, four hundred thirteen million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 13007 26014 52028 104056 208112 416224 832448 1664896 25311739 50623478 101246956 202493912 404987824 809975648 1619951296 3239902592 329229789173 658459578346 1316919156692 2633838313384 5267676626768 10535353253536 21070706507072 42141413014144