Search a number
-
+
30703747074000 = 243537111331374457
BaseRepresentation
bin1101111101100110001011…
…11100000000011111010000
311000201020201220222020102120
412332303011330000133100
513011022233222332000
6145145035013214240
76316162321666560
oct676630574003720
9130636656866376
1030703747074000
119868427861920
12353a712931380
131419473ca2430
147820d81a6da0
15383a1cce56a0
hex1becc5f007d0

30703747074000 has 2560 divisors, whose sum is σ = 140935107575808. Its totient is φ = 5543976960000.

The previous prime is 30703747073971. The next prime is 30703747074017. The reversal of 30703747074000 is 47074730703.

It is a super-2 number, since 2×307037470740002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 6888879772 + ... + 6888884228.

Almost surely, 230703747074000 is an apocalyptic number.

30703747074000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30703747074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70467553787904).

30703747074000 is an abundant number, since it is smaller than the sum of its proper divisors (110231360501808).

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

30703747074000 is a wasteful number, since it uses less digits than its factorization.

30703747074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4566 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 42.

The spelling of 30703747074000 in words is "thirty trillion, seven hundred three billion, seven hundred forty-seven million, seventy-four thousand".