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55141345242 = 2332971948973
BaseRepresentation
bin110011010110101011…
…100010011111011010
312021022220011120102000
4303112223202133122
51400412141021432
641155342221430
73661311462324
oct632653423732
9167286146360
1055141345242
1121426940905
12a82a884876
135279c8a049
1429514a6614
15167ae1b57c
hexcd6ae27da

55141345242 has 64 divisors (see below), whose sum is σ = 126940608000. Its totient is φ = 17721595584.

The previous prime is 55141345223. The next prime is 55141345243. The reversal of 55141345242 is 24254314155.

55141345242 is a `hidden beast` number, since 5 + 514 + 134 + 5 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55141345197 and 55141345206.

It is not an unprimeable number, because it can be changed into a prime (55141345243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101468 + ... + 1150440.

It is an arithmetic number, because the mean of its divisors is an integer number (1983447000).

Almost surely, 255141345242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55141345242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63470304000).

55141345242 is an abundant number, since it is smaller than the sum of its proper divisors (71799262758).

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

55141345242 is a wasteful number, since it uses less digits than its factorization.

55141345242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49732 (or 49726 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 55141345242 its reverse (24254314155), we get a palindrome (79395659397).

The spelling of 55141345242 in words is "fifty-five billion, one hundred forty-one million, three hundred forty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 719 783 1438 1566 2157 4314 6471 12942 19413 20851 38826 41702 48973 62553 97946 125106 146919 187659 293838 375318 440757 562977 881514 1125954 1322271 1420217 2644542 2840434 4260651 8521302 12781953 25563906 35211587 38345859 70423174 76691718 105634761 211269522 316904283 633808566 950712849 1021136023 1901425698 2042272046 3063408069 6126816138 9190224207 18380448414 27570672621 55141345242