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137414434083272 = 23462127253136393
BaseRepresentation
bin11111001111101001001010…
…100001111101000111001000
3200000112200200011211001000122
4133033221022201331013020
5121002344230111131042
61204131153004122412
740641602530436303
oct3717511241750710
9600480604731018
10137414434083272
113a86a152720305
12134b3a07b36408
135b8a182a43a08
1425d0c73587b3a
1510d46e896b7d2
hex7cfa4a87d1c8

137414434083272 has 32 divisors (see below), whose sum is σ = 257719166329080. Its totient is φ = 68689324408320.

The previous prime is 137414434083257. The next prime is 137414434083281. The reversal of 137414434083272 is 272380434414731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 129531850014436 + 7882584068836 = 11381206^2 + 2807594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1007420708 + ... + 1007557100.

Almost surely, 2137414434083272 is an apocalyptic number.

It is an amenable number.

137414434083272 is a deficient number, since it is larger than the sum of its proper divisors (120304732245808).

137414434083272 is a wasteful number, since it uses less digits than its factorization.

137414434083272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168273 (or 168269 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 53.

The spelling of 137414434083272 in words is "one hundred thirty-seven trillion, four hundred fourteen billion, four hundred thirty-four million, eighty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 4621 9242 18484 27253 36968 54506 109012 136393 218024 272786 545572 1091144 125936113 251872226 503744452 630272053 1007488904 1260544106 2521088212 3717118429 5042176424 7434236858 14868473716 29736947432 17176804260409 34353608520818 68707217041636 137414434083272