Search a number
-
+
30104758944 = 2533132923187
BaseRepresentation
bin11100000010011000…
…100010101010100000
32212201001102012122000
4130002120202222200
5443123304241234
621455133244000
72114011141341
oct340230425240
985631365560
1030104758944
1111849395a77
125a02033600
132ab9cb3a40
1416583180c8
15bb2e1d899
hex702622aa0

30104758944 has 288 divisors, whose sum is σ = 97963669440. Its totient is φ = 8940782592.

The previous prime is 30104758927. The next prime is 30104758963. The reversal of 30104758944 is 44985740103.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×301047589442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30104758944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9444519 + ... + 9447705.

It is an arithmetic number, because the mean of its divisors is an integer number (340151630).

Almost surely, 230104758944 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 30104758944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981834720).

30104758944 is an abundant number, since it is smaller than the sum of its proper divisors (67858910496).

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

30104758944 is a wasteful number, since it uses less digits than its factorization.

30104758944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 30104758944 in words is "thirty billion, one hundred four million, seven hundred fifty-eight thousand, nine hundred forty-four".