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30131405056 = 281925712
BaseRepresentation
bin11100000011111110…
…001100000100000000
32212202220112222020001
4130003332030010000
5443202114430211
621501524325344
72114453500654
oct340376140400
985686488201
1030131405056
1111862435655
125a0ab43854
132ac268327c
14165ba92a64
15bb5433ac1
hex703f8c100

30131405056 has 81 divisors (see below), whose sum is σ = 63588611583. Its totient is φ = 14247774720.

The previous prime is 30131405041. The next prime is 30131405071. The reversal of 30131405056 is 65050413103.

The square root of 30131405056 is 173584.

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

It is an interprime number because it is at equal distance from previous prime (30131405041) and next prime (30131405071).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52769251 + ... + 52769821.

Almost surely, 230131405056 is an apocalyptic number.

30131405056 is the 173584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131405056

30131405056 is an abundant number, since it is smaller than the sum of its proper divisors (33457206527).

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

30131405056 is an frugal number, since it uses more digits than its factorization.

30131405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 30131405056 its reverse (65050413103), we get a palindrome (95181818159).

The spelling of 30131405056 in words is "thirty billion, one hundred thirty-one million, four hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 571 608 722 1142 1216 1444 2284 2432 2888 4568 4864 5776 9136 10849 11552 18272 21698 23104 36544 43396 46208 73088 86792 92416 146176 173584 206131 326041 347168 412262 652082 694336 824524 1304164 1388672 1649048 2608328 2777344 3298096 5216656 6194779 6596192 10433312 12389558 13192384 20866624 24779116 26384768 41733248 49558232 52769536 83466496 99116464 117700801 198232928 235401602 396465856 470803204 792931712 941606408 1585863424 1883212816 3766425632 7532851264 15065702528 30131405056