Search a number
-
+
352225401424 = 241323631116681
BaseRepresentation
bin1010010000000100100…
…01010001101001010000
31020200011012020022012221
411020002101101221100
521232324200321144
6425450552430424
734306321341031
oct5100221215120
91220135208187
10352225401424
11126418069386
125831b6a8414
13272a3954ac0
1413095242a88
1592675dbd84
hex5202451a50

352225401424 has 80 divisors (see below), whose sum is σ = 768107337984. Its totient is φ = 155249740800.

The previous prime is 352225401397. The next prime is 352225401431. The reversal of 352225401424 is 424104522253.

It is a self number, because there is not a number n which added to its sum of digits gives 352225401424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2960364 + ... + 3077044.

Almost surely, 2352225401424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352225401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384053668992).

352225401424 is an abundant number, since it is smaller than the sum of its proper divisors (415881936560).

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

352225401424 is a wasteful number, since it uses less digits than its factorization.

352225401424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117356 (or 117350 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 352225401424 its reverse (424104522253), we get a palindrome (776329923677).

The spelling of 352225401424 in words is "three hundred fifty-two billion, two hundred twenty-five million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 631 1196 1262 2392 2524 4784 5048 8203 10096 14513 16406 29026 32812 58052 65624 116104 116681 131248 188669 232208 233362 377338 466724 754676 933448 1509352 1516853 1866896 2683663 3018704 3033706 5367326 6067412 10734652 12134824 21469304 24269648 34887619 42938608 69775238 73625711 139550476 147251422 279100952 294502844 558201904 589005688 957134243 1178011376 1693391353 1914268486 3386782706 3828536972 6773565412 7657073944 13547130824 15314147888 22014087589 27094261648 44028175178 88056350356 176112700712 352225401424