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383302144996 = 222324323132
BaseRepresentation
bin1011001001111101001…
…01101001001111100100
31100122100222121110002121
411210332211221033210
522240000322114441
6452030411115324
736456404322001
oct5447645511744
91318328543077
10383302144996
11138615082831
1262353142b44
132a1b7117174
14147a26948a8
159e85a05dd1
hex593e9693e4

383302144996 has 81 divisors (see below), whose sum is σ = 720198462249. Its totient is φ = 178483136832.

The previous prime is 383302144969. The next prime is 383302145003. The reversal of 383302144996 is 699441203383.

It is a happy number.

The square root of 383302144996 is 619114.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2445302500 + 380856842496 = 49450^2 + 617136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1224607336 + ... + 1224607648.

Almost surely, 2383302144996 is an apocalyptic number.

383302144996 is the 619114-th square number.

It is an amenable number.

383302144996 is a deficient number, since it is larger than the sum of its proper divisors (336896317253).

383302144996 is an equidigital number, since it uses as much as digits as its factorization.

383302144996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 383302144996 in words is "three hundred eighty-three billion, three hundred two million, one hundred forty-four thousand, nine hundred ninety-six".

Divisors: 1 2 4 23 43 46 86 92 172 313 529 626 989 1058 1252 1849 1978 2116 3698 3956 7199 7396 13459 14398 22747 26918 28796 42527 45494 53836 85054 90988 97969 165577 170108 195938 309557 331154 391876 578737 619114 662308 978121 1157474 1238228 1956242 2253287 2314948 3912484 4212667 4506574 7119811 8425334 9013148 13310951 14239622 16850668 26621902 28479244 51825601 53243804 96891341 103651202 181144681 193782682 207302404 306151873 362289362 387565364 612303746 724578724 1224607492 2228500843 4166327663 4457001686 8332655326 8914003372 16665310652 95825536249 191651072498 383302144996