Search a number
-
+
137711142436 = 22729169595003
BaseRepresentation
bin1000000001000000111…
…0010100011000100100
3111011110022210212102211
42000100032110120210
54224013023024221
6143132535413204
712643416253120
oct2002016243044
9434408725384
10137711142436
115344839361a
1222833224204
13cca861b6ca
146945660580
1538aed016e1
hex2010394624

137711142436 has 24 divisors (see below), whose sum is σ = 284919606720. Its totient is φ = 56983920672.

The previous prime is 137711142419. The next prime is 137711142451. The reversal of 137711142436 is 634241117731.

It is a happy number.

It is a super-3 number, since 3×1377111424363 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84796690 + ... + 84798313.

It is an arithmetic number, because the mean of its divisors is an integer number (11871650280).

Almost surely, 2137711142436 is an apocalyptic number.

It is an amenable number.

137711142436 is an abundant number, since it is smaller than the sum of its proper divisors (147208464284).

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

137711142436 is a wasteful number, since it uses less digits than its factorization.

137711142436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169595043 (or 169595041 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The spelling of 137711142436 in words is "one hundred thirty-seven billion, seven hundred eleven million, one hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 169595003 339190006 678380012 1187165021 2374330042 4748660084 4918255087 9836510174 19673020348 34427785609 68855571218 137711142436