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146400442714 = 23743315972861
BaseRepresentation
bin1000100001011000100…
…1010111100101011010
3111222212220021001120001
42020112021113211122
54344312003131324
6151131101323214
713401640142101
oct2102611274532
9458786231501
10146400442714
11570a7262519
122445926650a
1310a618c59c6
14712b6b9038
153c1caa8e44
hex221625795a

146400442714 has 32 divisors (see below), whose sum is σ = 226277298576. Its totient is φ = 70988037120.

The previous prime is 146400442709. The next prime is 146400442729. The reversal of 146400442714 is 417244004641.

It can be written as a sum of positive squares in 8 ways, for example, as 55025430625 + 91375012089 = 234575^2 + 302283^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 51169644 + ... + 51172504.

Almost surely, 2146400442714 is an apocalyptic number.

146400442714 is a deficient number, since it is larger than the sum of its proper divisors (79876855862).

146400442714 is a wasteful number, since it uses less digits than its factorization.

146400442714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930.

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 146400442714 in words is "one hundred forty-six billion, four hundred million, four hundred forty-two thousand, seven hundred fourteen".

Divisors: 1 2 37 74 433 866 1597 2861 3194 5722 16021 32042 59089 105857 118178 211714 691501 1238813 1383002 2477626 4569017 9138034 25585537 45836081 51171074 91672162 169053629 338107258 1978384361 3956768722 73200221357 146400442714