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31444325410576 = 241321078372
BaseRepresentation
bin1110010011001001100111…
…10110001010011100010000
311010100001022002202201022011
413021210303312022130100
513110140434301114301
6150513153525152304
76423530460665431
oct711446366123420
9133301262681264
1031444325410576
11a023510a40371
12363a154b5b694
131471258273c00
147a9cb07c3488
15397e14523a51
hex1c9933d8a710

31444325410576 has 45 divisors (see below), whose sum is σ = 65970899506911. Its totient is φ = 14512630993536.

The previous prime is 31444325410543. The next prime is 31444325410579. The reversal of 31444325410576 is 67501452344413.

The square root of 31444325410576 is 5607524.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15325063996176 + 16119261414400 = 3914724^2 + 4014880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31444325410579) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291537330 + ... + 291645166.

Almost surely, 231444325410576 is an apocalyptic number.

31444325410576 is the 5607524-th square number.

It is an amenable number.

31444325410576 is an abundant number, since it is smaller than the sum of its proper divisors (34526574096335).

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

31444325410576 is an frugal number, since it uses more digits than its factorization.

31444325410576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215708 (or 107852 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

Adding to 31444325410576 its reverse (67501452344413), we get a palindrome (98945777754989).

The spelling of 31444325410576 in words is "thirty-one trillion, four hundred forty-four billion, three hundred twenty-five million, four hundred ten thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 107837 215674 431348 862696 1401881 1725392 2803762 5607524 11215048 18224453 22430096 36448906 72897812 145795624 291591248 11628818569 23257637138 46515274276 93030548552 151174641397 186061097104 302349282794 604698565588 1209397131176 1965270338161 2418794262352 3930540676322 7861081352644 15722162705288 31444325410576