Search a number
-
+
34545430152990 = 2325383838112811
BaseRepresentation
bin1111101101011001111000…
…00101111100011100011110
311112022111210102110001200200
413312230330011330130132
514011443020104343430
6201245541310204330
710163552651245431
oct766547405743436
9145274712401620
1034545430152990
11100096a87a64a9
123a5b1767b36a6
13163780a434983
14876017351818
153ed914e73460
hex1f6b3c17c71e

34545430152990 has 24 divisors (see below), whose sum is σ = 89818118398008. Its totient is φ = 9212114707440.

The previous prime is 34545430152979. The next prime is 34545430152991. The reversal of 34545430152990 is 9925103454543.

34545430152990 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 543 + 0 + 1 + 5 + 2 + 9 + 90 = 666.

It is a super-2 number, since 2×345454301529902 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34545430152991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191919056316 + ... + 191919056495.

It is an arithmetic number, because the mean of its divisors is an integer number (3742421599917).

Almost surely, 234545430152990 is an apocalyptic number.

34545430152990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34545430152990 is an abundant number, since it is smaller than the sum of its proper divisors (55272688245018).

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

34545430152990 is a wasteful number, since it uses less digits than its factorization.

34545430152990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383838112824 (or 383838112821 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 34545430152990 in words is "thirty-four trillion, five hundred forty-five billion, four hundred thirty million, one hundred fifty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 383838112811 767676225622 1151514338433 1919190564055 2303028676866 3454543015299 3838381128110 5757571692165 6909086030598 11515143384330 17272715076495 34545430152990