Search a number
-
+
137142673232 = 2437721332117
BaseRepresentation
bin111111110111001010…
…1110001111101010000
3111002222201010122021212
41333232111301331100
54221332011020412
6143000311235252
712623344326365
oct1775625617520
9432881118255
10137142673232
1153186511264
12226b4978b28
13cc179127b6
1468cdd6446c
153879e61222
hex1fee571f50

137142673232 has 40 divisors (see below), whose sum is σ = 272941718856. Its totient is φ = 66706730496.

The previous prime is 137142673219. The next prime is 137142673253. The reversal of 137142673232 is 232376241731.

It can be written as a sum of positive squares in 4 ways, for example, as 27676980496 + 109465692736 = 166364^2 + 330856^2 .

It is a super-2 number, since 2×1371426732322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137142673232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4254038 + ... + 4286154.

Almost surely, 2137142673232 is an apocalyptic number.

It is an amenable number.

137142673232 is a deficient number, since it is larger than the sum of its proper divisors (135799045624).

137142673232 is a wasteful number, since it uses less digits than its factorization.

137142673232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39375 (or 39369 counting only the distinct ones).

The product of its digits is 254016, while the sum is 41.

The spelling of 137142673232 in words is "one hundred thirty-seven billion, one hundred forty-two million, six hundred seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 37 74 148 296 592 7213 14426 28852 32117 57704 64234 115408 128468 256936 266881 513872 533762 1067524 1188329 2135048 2376658 4270096 4753316 9506632 19013264 231659921 463319842 926639684 1853279368 3706558736 8571417077 17142834154 34285668308 68571336616 137142673232