Search a number
-
+
243223631565376 = 26711347142234711
BaseRepresentation
bin110111010011010111101010…
…001010010001001001000000
31011220011221201002001221020111
4313103113222022101021000
5223334433444140043001
62221143221021521104
7102142220220516460
oct6723275212211100
91156157632057214
10243223631565376
1170553621212110
1223342452113194
13a593b75562a87
14440c12d807ba0
151d1bc11439851
hexdd35ea291240

243223631565376 has 112 divisors (see below), whose sum is σ = 603475711828992. Its totient is φ = 94489362547200.

The previous prime is 243223631565371. The next prime is 243223631565377. The reversal of 243223631565376 is 673565136322342.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 243223631565376.

It is not an unprimeable number, because it can be changed into a prime (243223631565371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69407340 + ... + 72827371.

Almost surely, 2243223631565376 is an apocalyptic number.

It is an amenable number.

243223631565376 is an abundant number, since it is smaller than the sum of its proper divisors (360252080263616).

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

243223631565376 is a wasteful number, since it uses less digits than its factorization.

243223631565376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142235088 (or 142235078 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 58.

The spelling of 243223631565376 in words is "two hundred forty-three trillion, two hundred twenty-three billion, six hundred thirty-one million, five hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 347 352 448 616 694 704 1232 1388 2429 2464 2776 3817 4858 4928 5552 7634 9716 11104 15268 19432 22208 26719 30536 38864 53438 61072 77728 106876 122144 155456 213752 244288 427504 855008 1710016 142234711 284469422 568938844 995642977 1137877688 1564581821 1991285954 2275755376 3129163642 3982571908 4551510752 6258327284 7965143816 9103021504 10952072747 12516654568 15930287632 21904145494 25033309136 31860575264 43808290988 49355444717 50066618272 63721150528 87616581976 98710889434 100133236544 175233163952 197421778868 345488113019 350466327904 394843557736 542909891887 690976226038 700932655808 789687115472 1085819783774 1381952452076 1579374230944 2171639567548 2763904904152 3158748461888 3800369243209 4343279135096 5527809808304 7600738486418 8686558270192 11055619616608 15201476972836 17373116540384 22111239233216 30402953945672 34746233080768 60805907891344 121611815782688 243223631565376