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149942189345 = 5131727982017
BaseRepresentation
bin1000101110100101000…
…0000011110100100001
3112100000201200102120012
42023221100003310201
54424040200024340
6152514341254305
713555464403034
oct2135120036441
9470021612505
10149942189345
1158654503153
1225087404395
13111a75bab80
147385c2301b
153d789b0565
hex22e9403d21

149942189345 has 24 divisors (see below), whose sum is σ = 205840280184. Its totient is φ = 104213200896.

The previous prime is 149942189339. The next prime is 149942189351. The reversal of 149942189345 is 543981249941.

149942189345 = 2738082 + 2738092.

It is an interprime number because it is at equal distance from previous prime (149942189339) and next prime (149942189351).

It can be written as a sum of positive squares in 12 ways, for example, as 2998767121 + 146943422224 = 54761^2 + 383332^2 .

It is a de Polignac number, because none of the positive numbers 2k-149942189345 is a prime.

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3972224 + ... + 4009793.

It is an arithmetic number, because the mean of its divisors is an integer number (8576678341).

Almost surely, 2149942189345 is an apocalyptic number.

149942189345 is the 273809-th centered square number.

It is an amenable number.

149942189345 is a deficient number, since it is larger than the sum of its proper divisors (55898090839).

149942189345 is a wasteful number, since it uses less digits than its factorization.

149942189345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982069 (or 7982052 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 59.

The spelling of 149942189345 in words is "one hundred forty-nine billion, nine hundred forty-two million, one hundred eighty-nine thousand, three hundred forty-five".

Divisors: 1 5 13 17 65 85 221 289 1105 1445 3757 18785 7982017 39910085 103766221 135694289 518831105 678471445 1764025757 2306802913 8820128785 11534014565 29988437869 149942189345