Search a number
-
+
131387243328 = 26321120736623
BaseRepresentation
bin111101001011101001…
…0100011101101000000
3110120010121021111201100
41322113102203231000
54123040113241303
6140205232334400
712330620066355
oct1722722435500
9416117244640
10131387243328
11507a2745620
12215693a4400
13c50b407a83
14650581a62c
15363ea388a3
hex1e974a3b40

131387243328 has 84 divisors (see below), whose sum is σ = 410833994688. Its totient is φ = 39814314240.

The previous prime is 131387243293. The next prime is 131387243347. The reversal of 131387243328 is 823342783131.

It is a happy number.

131387243328 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 87 + 243 + 328 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10361976 + ... + 10374647.

Almost surely, 2131387243328 is an apocalyptic number.

131387243328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131387243328 is an abundant number, since it is smaller than the sum of its proper divisors (279446751360).

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

131387243328 is a wasteful number, since it uses less digits than its factorization.

131387243328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20736652 (or 20736639 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 131387243328 in words is "one hundred thirty-one billion, three hundred eighty-seven million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 20736623 41473246 62209869 82946492 124419738 165892984 186629607 228102853 248839476 331785968 373259214 456205706 497678952 663571936 684308559 746518428 912411412 995357904 1327143872 1368617118 1493036856 1824822824 1990715808 2052925677 2737234236 2986073712 3649645648 3981431616 4105851354 5474468472 5972147424 7299291296 8211702708 10948936944 11944294848 14598582592 16423405416 21897873888 32846810832 43795747776 65693621664 131387243328