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3193390444036 = 221341723112
BaseRepresentation
bin101110011110000100111…
…001110010111000000100
3102022021200212111201200111
4232132010321302320010
5404310030423202121
610443005011522404
7446500122623452
oct56360471627004
912267625451614
103193390444036
111021344721731
12436a97bb9404
131a219b6c0000
14b07bd2559d2
15581027c62e1
hex2e784e72e04

3193390444036 has 135 divisors (see below), whose sum is σ = 6451938515897. Its totient is φ = 1382713762560.

The previous prime is 3193390443983. The next prime is 3193390444063. The reversal of 3193390444036 is 6304440933913.

The square root of 3193390444036 is 1787006.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2915180612100 + 278209831936 = 1707390^2 + 527456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10268136321 + ... + 10268136631.

Almost surely, 23193390444036 is an apocalyptic number.

3193390444036 is the 1787006-th square number.

It is an amenable number.

3193390444036 is an abundant number, since it is smaller than the sum of its proper divisors (3258548071861).

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

3193390444036 is an frugal number, since it uses more digits than its factorization.

3193390444036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 49.

Multiplying 3193390444036 by its sum of digits (49), we get a square (156476131757764 = 125090422).

The spelling of 3193390444036 in words is "three trillion, one hundred ninety-three billion, three hundred ninety million, four hundred forty-four thousand, thirty-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 311 338 442 578 622 676 884 1156 1244 2197 2873 3757 4043 4394 5287 5746 7514 8086 8788 10574 11492 15028 16172 21148 28561 37349 48841 52559 57122 68731 74698 89879 96721 97682 105118 114244 137462 149396 179758 193442 195364 210236 274924 359516 386884 485537 634933 683267 893503 971074 1168427 1257373 1269866 1366534 1644257 1787006 1942148 2336854 2514746 2539732 2733068 3288514 3574012 4673708 5029492 6577028 8254129 8882471 11615539 15189551 16345849 16508258 17764942 21375341 23231078 27952369 30379102 32691698 33016516 35529884 42750682 46462156 55904738 60758204 65383396 85501364 111809476 151002007 197464163 212496037 277879433 302004014 363380797 394928326 424992074 555758866 604008028 726761594 789856652 849984148 1111517732 1453523188 2567034119 2762448481 3612432629 4723950361 5134068238 5524896962 7224865258 9447900722 10268136476 11049793924 14449730516 18895801444 46961624177 61411354693 93923248354 122822709386 187846496708 245645418772 798347611009 1596695222018 3193390444036