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23010483402340 = 2257313759101139173
BaseRepresentation
bin1010011101101100010111…
…01100000111011001100100
310000110210002011002210120121
411032312023230013121210
511004000432222333330
6120534511541211324
74563311141516140
oct516661354073144
9100423064083517
1023010483402340
117371766aa9095
1226b7704400b44
13cabb579c4595
145979db58c220
1529d84eb2317a
hex14ed8bb07664

23010483402340 has 768 divisors, whose sum is σ = 60911817523200. Its totient is φ = 7136750592000.

The previous prime is 23010483402329. The next prime is 23010483402341. The reversal of 23010483402340 is 4320438401032.

It is a junction number, because it is equal to n+sod(n) for n = 23010483402296 and 23010483402305.

It is not an unprimeable number, because it can be changed into a prime (23010483402341) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 133008574494 + ... + 133008574666.

It is an arithmetic number, because the mean of its divisors is an integer number (79312262400).

Almost surely, 223010483402340 is an apocalyptic number.

23010483402340 is a gapful number since it is divisible by the number (20) 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 23010483402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30455908761600).

23010483402340 is an abundant number, since it is smaller than the sum of its proper divisors (37901334120860).

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

23010483402340 is a wasteful number, since it uses less digits than its factorization.

23010483402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 23010483402340 in words is "twenty-three trillion, ten billion, four hundred eighty-three million, four hundred two thousand, three hundred forty".