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30453155432 = 2372299727617
BaseRepresentation
bin11100010111001001…
…100100011001101000
32220121022222120202122
4130113021210121220
5444332001433212
621553500450412
72125441356500
oct342711443150
986538876678
1030453155432
1111a08015457
125a9a849a08
132b442280cb
14168c6c8a00
15bd37dc272
hex717264668

30453155432 has 96 divisors (see below), whose sum is σ = 69423366600. Its totient is φ = 12470943744.

The previous prime is 30453155417. The next prime is 30453155489. The reversal of 30453155432 is 23455135403.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15209302276 + 15243853156 = 123326^2 + 123466^2 .

It is a super-2 number, since 2×304531554322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30453155392 and 30453155401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088888 + ... + 1116504.

Almost surely, 230453155432 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 30453155432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34711683300).

30453155432 is an abundant number, since it is smaller than the sum of its proper divisors (38970211168).

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

30453155432 is a wasteful number, since it uses less digits than its factorization.

30453155432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27763 (or 27752 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 30453155432 in words is "thirty billion, four hundred fifty-three million, one hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 97 98 116 194 196 203 232 388 392 406 679 776 812 1358 1421 1624 2716 2813 2842 4753 5432 5626 5684 9506 11252 11368 19012 19691 22504 27617 38024 39382 55234 78764 110468 137837 157528 193319 220936 275674 386638 551348 773276 800893 1102696 1353233 1546552 1601786 2678849 2706466 3203572 5357698 5412932 5606251 6407144 10715396 10825864 11212502 18751943 21430792 22425004 37503886 39243757 44850008 75007772 77686621 78487514 131263601 150015544 155373242 156975028 262527202 310746484 313950056 525054404 543806347 621492968 1050108808 1087612694 2175225388 3806644429 4350450776 7613288858 15226577716 30453155432