Search a number
-
+
131045322335544 = 2334883229026541
BaseRepresentation
bin11101110010111101011101…
…111000110010010100111000
3122011222210212211101220120000
4131302331131320302110320
5114134021310004214134
61142413220123233000
736413466152022531
oct3562753570622470
9564883784356500
10131045322335544
1138834011128681
1212845565378760
1358176a0480146
1424508ad9bd688
151023bc9bbee99
hex772f5de32538

131045322335544 has 80 divisors (see below), whose sum is σ = 367463925577320. Its totient is φ = 43632304188480.

The previous prime is 131045322335539. The next prime is 131045322335549. The reversal of 131045322335544 is 445533223540131.

131045322335544 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 53 + 2 + 23 + 35 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (131045322335539) and next prime (131045322335549).

It is a self number, because there is not a number n which added to its sum of digits gives 131045322335544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045322335549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113941087 + ... + 115085454.

Almost surely, 2131045322335544 is an apocalyptic number.

It is an amenable number.

131045322335544 is an abundant number, since it is smaller than the sum of its proper divisors (236418603241776).

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

131045322335544 is a wasteful number, since it uses less digits than its factorization.

131045322335544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229027442 (or 229027429 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 131045322335544 its reverse (445533223540131), we get a palindrome (576578545875675).

The spelling of 131045322335544 in words is "one hundred thirty-one trillion, forty-five billion, three hundred twenty-two million, three hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 883 1766 2649 3532 5298 7064 7947 10596 15894 21192 23841 31788 47682 63576 71523 95364 143046 190728 286092 572184 229026541 458053082 687079623 916106164 1374159246 1832212328 2061238869 2748318492 4122477738 5496636984 6183716607 8244955476 12367433214 16489910952 18551149821 24734866428 37102299642 49469732856 74204599284 148409198568 202230435703 404460871406 606691307109 808921742812 1213382614218 1617843485624 1820073921327 2426765228436 3640147842654 4853530456872 5460221763981 7280295685308 10920443527962 14560591370616 16380665291943 21840887055924 32761330583886 43681774111848 65522661167772 131045322335544