Search a number
-
+
132316032454224 = 2435575165995801
BaseRepresentation
bin11110000101011100111010…
…000111001100111001010000
3122100111021210210200020002220
4132011130322013030321100
5114320331213302013344
61145225051323141040
736604342426562223
oct3605347207147120
9570437723606086
10132316032454224
1139183a06937483
1212a0b897674780
1358aa46b355458
1424961b716d5ba
151046c9c4dbc19
hex78573a1cce50

132316032454224 has 80 divisors (see below), whose sum is σ = 342440294293440. Its totient is φ = 44024848614400.

The previous prime is 132316032454219. The next prime is 132316032454289. The reversal of 132316032454224 is 422454230613231.

It is a super-3 number, since 3×1323160324542243 (a number of 43 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1381107124 + ... + 1381202924.

It is an arithmetic number, because the mean of its divisors is an integer number (4280503678668).

Almost surely, 2132316032454224 is an apocalyptic number.

It is an amenable number.

132316032454224 is an abundant number, since it is smaller than the sum of its proper divisors (210124261839216).

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

132316032454224 is a wasteful number, since it uses less digits than its factorization.

132316032454224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148028 (or 148022 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 132316032454224 in words is "one hundred thirty-two trillion, three hundred sixteen billion, thirty-two million, four hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 557 1114 1671 2228 3342 4456 6684 8912 13368 26736 51659 95801 103318 154977 191602 206636 287403 309954 383204 413272 574806 619908 766408 826544 1149612 1239816 1532816 2299224 2479632 4598448 28774063 53361157 57548126 86322189 106722314 115096252 160083471 172644378 213444628 230192504 320166942 345288756 426889256 460385008 640333884 690577512 853778512 1280667768 1381155024 2561335536 4948983859 9897967718 14846951577 19795935436 29693903154 39591870872 59387806308 79183741744 118775612616 237551225232 2756584009463 5513168018926 8269752028389 11026336037852 16539504056778 22052672075704 33079008113556 44105344151408 66158016227112 132316032454224