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137456814224 = 2448661176549
BaseRepresentation
bin1000000000000100010…
…0001000100010010000
3111010210121020122201102
42000001010020202100
54223002421023344
6143051412323532
712634210433342
oct2000104104220
9433717218642
10137456814224
1153327874014
12227820135a8
13cc67a21c42
14691d979292
153897814e4e
hex2001108890

137456814224 has 20 divisors (see below), whose sum is σ = 266329559100. Its totient is φ = 68726605440.

The previous prime is 137456814151. The next prime is 137456814233. The reversal of 137456814224 is 422418654731.

It can be written as a sum of positive squares in 2 ways, for example, as 49698676624 + 87758137600 = 222932^2 + 296240^2 .

It is a super-2 number, since 2×1374568142242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 690302 + ... + 866850.

It is an arithmetic number, because the mean of its divisors is an integer number (13316477955).

Almost surely, 2137456814224 is an apocalyptic number.

It is an amenable number.

137456814224 is a deficient number, since it is larger than the sum of its proper divisors (128872744876).

137456814224 is a wasteful number, since it uses less digits than its factorization.

137456814224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225218 (or 225212 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The spelling of 137456814224 in words is "one hundred thirty-seven billion, four hundred fifty-six million, eight hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 48661 97322 176549 194644 353098 389288 706196 778576 1412392 2824784 8591050889 17182101778 34364203556 68728407112 137456814224