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614362106144 = 2519198815817
BaseRepresentation
bin10001111000010101101…
…01011100100100100000
32011201202221200122022102
420330022311130210200
540031203144344034
61150122320025532
762246315511413
oct10741265344440
92151687618272
10614362106144
11217605435506
129b0987622a8
1345c1b2a0977
1421a41899b7a
1510eaab7b97e
hex8f0ad5c920

614362106144 has 12 divisors (see below), whose sum is σ = 1209525396534. Its totient is φ = 307181053056.

The previous prime is 614362106143. The next prime is 614362106219. The reversal of 614362106144 is 441601263416.

It can be written as a sum of positive squares in only one way, i.e., 325369849744 + 288992256400 = 570412^2 + 537580^2 .

It is a junction number, because it is equal to n+sod(n) for n = 614362106098 and 614362106107.

It is not an unprimeable number, because it can be changed into a prime (614362106143) 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 as a sum of consecutive naturals, namely, 9599407877 + ... + 9599407940.

Almost surely, 2614362106144 is an apocalyptic number.

It is an amenable number.

614362106144 is a deficient number, since it is larger than the sum of its proper divisors (595163290390).

614362106144 is a wasteful number, since it uses less digits than its factorization.

614362106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19198815827 (or 19198815819 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 614362106144 in words is "six hundred fourteen billion, three hundred sixty-two million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 19198815817 38397631634 76795263268 153590526536 307181053072 614362106144