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137218269440 = 285715314539
BaseRepresentation
bin111111111001011011…
…0001010000100000000
3111010011222101022210102
41333302312022010000
54222010334110230
6143012011421532
712625253021450
oct1776266120400
9433158338712
10137218269440
115321515486a
12227161548a8
13cc2a490595
1468da001d60
1538818e5045
hex1ff2d8a100

137218269440 has 72 divisors (see below), whose sum is σ = 375635037120. Its totient is φ = 47046260736.

The previous prime is 137218269407. The next prime is 137218269443. The reversal of 137218269440 is 44962812731.

It is not an unprimeable number, because it can be changed into a prime (137218269443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7648310 + ... + 7666229.

Almost surely, 2137218269440 is an apocalyptic number.

137218269440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137218269440 is an abundant number, since it is smaller than the sum of its proper divisors (238416767680).

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

137218269440 is an equidigital number, since it uses as much as digits as its factorization.

137218269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15314567 (or 15314553 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The spelling of 137218269440 in words is "one hundred thirty-seven billion, two hundred eighteen million, two hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 15314539 30629078 61258156 76572695 107201773 122516312 153145390 214403546 245032624 306290780 428807092 490065248 536008865 612581560 857614184 980130496 1072017730 1225163120 1715228368 1960260992 2144035460 2450326240 3430456736 3920521984 4288070920 4900652480 6860913472 8576141840 9801304960 13721826944 17152283680 19602609920 27443653888 34304567360 68609134720 137218269440