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30240441055332 = 22327011198305637
BaseRepresentation
bin1101110000000111001101…
…01111110011100001100100
310222001221212022221220122200
412320003212233303201210
512430424410402232312
6144152133345254500
76240541214550504
oct670034657634144
9128057768856580
1030240441055332
1196a9998677732
123484972634430
1313b4879cc8261
14767906449a04
153769538080dc
hex1b80e6bf3864

30240441055332 has 36 divisors (see below), whose sum is σ = 76550160766716. Its totient is φ = 10065767342400.

The previous prime is 30240441055327. The next prime is 30240441055343. The reversal of 30240441055332 is 23355014404203.

30240441055332 is a `hidden beast` number, since 3 + 0 + 24 + 0 + 44 + 10 + 553 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14718149107776 + 15522291947556 = 3836424^2 + 3939834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599127583 + ... + 599178054.

It is an arithmetic number, because the mean of its divisors is an integer number (2126393354631).

Almost surely, 230240441055332 is an apocalyptic number.

It is an amenable number.

30240441055332 is an abundant number, since it is smaller than the sum of its proper divisors (46309719711384).

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

30240441055332 is a wasteful number, since it uses less digits than its factorization.

30240441055332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198306348 (or 1198306343 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 30240441055332 its reverse (23355014404203), we get a palindrome (53595455459535).

The spelling of 30240441055332 in words is "thirty trillion, two hundred forty billion, four hundred forty-one million, fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 701 1402 2103 2804 4206 6309 8412 12618 25236 1198305637 2396611274 3594916911 4793222548 7189833822 10784750733 14379667644 21569501466 43139002932 840012251537 1680024503074 2520036754611 3360049006148 5040073509222 7560110263833 10080147018444 15120220527666 30240441055332