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321230234242044 = 2232296118523272317
BaseRepresentation
bin100100100001010000011111…
…0000000001100101111111100
31120010101022101100011211112200
41021002200332000030233330
5314101014004431221134
63055111044331431500
7124443055443155211
oct11102407600145774
91503338340154480
10321230234242044
1193398a82858146
12300406a35b5590
1310a31b5ba516aa
1459478aa79db08
152720e07879499
hex124283e00cbfc

321230234242044 has 144 divisors (see below), whose sum is σ = 853818297652320. Its totient is φ = 101683752952320.

The previous prime is 321230234242019. The next prime is 321230234242109. The reversal of 321230234242044 is 440242432032123.

321230234242044 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 3 + 0 + 23 + 424 + 204 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179482574 + ... + 1179754890.

Almost surely, 2321230234242044 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 321230234242044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426909148826160).

321230234242044 is an abundant number, since it is smaller than the sum of its proper divisors (532588063410276).

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

321230234242044 is a wasteful number, since it uses less digits than its factorization.

321230234242044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290940 (or 290935 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 321230234242044 its reverse (440242432032123), we get a palindrome (761472666274167).

The spelling of 321230234242044 in words is "three hundred twenty-one trillion, two hundred thirty billion, two hundred thirty-four million, two hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 61 87 116 122 174 183 244 261 348 366 522 549 732 1044 1098 1769 2196 3538 5307 7076 10614 15921 18523 21228 31842 37046 55569 63684 74092 111138 166707 222276 272317 333414 537167 544634 666828 816951 1074334 1089268 1129903 1611501 1633902 2148668 2259806 2450853 3223002 3267804 3389709 4519612 4834503 4901706 6446004 6779418 7897193 9669006 9803412 10169127 13558836 15794386 16611337 19338012 20338254 23691579 31588772 32767187 33222674 40676508 47383158 49834011 65534374 66445348 71074737 94766316 98301561 99668022 131068748 142149474 149502033 196603122 199336044 284298948 294904683 299004066 393206244 481728773 589809366 598008132 963457546 1179618732 1445186319 1926915092 2890372638 4335558957 5044127791 5780745276 8671117914 10088255582 15132383373 17342235828 20176511164 30264766746 45397150119 60529533492 90794300238 146279705939 181588600476 292559411878 307691795251 438839117817 585118823756 615383590502 877678235634 923075385753 1230767181004 1316517353451 1755356471268 1846150771506 2633034706902 2769226157259 3692301543012 5266069413804 5538452314518 8923062062279 11076904629036 17846124124558 26769186186837 35692248249116 53538372373674 80307558560511 107076744747348 160615117121022 321230234242044