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23430444403432 = 23113172127167359
BaseRepresentation
bin1010101001111010100110…
…10100001100101011101000
310001221221001221211002101011
411110331103110030223220
511032341022231402212
6121455444135033304
74635536153235463
oct524752324145350
9101857057732334
1023430444403432
117513883043000
122764b8850b834
13100c634904571
145b007a7a42da
152a972db324a7
hex154f5350cae8

23430444403432 has 384 divisors, whose sum is σ = 52190620876800. Its totient is φ = 9857707453440.

The previous prime is 23430444403423. The next prime is 23430444403451.

23430444403432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65265861669 + ... + 65265862027.

It is an arithmetic number, because the mean of its divisors is an integer number (135913075200).

Almost surely, 223430444403432 is an apocalyptic number.

23430444403432 is a gapful number since it is divisible by the number (22) 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 23430444403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26095310438400).

23430444403432 is an abundant number, since it is smaller than the sum of its proper divisors (28760176473368).

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

23430444403432 is a wasteful number, since it uses less digits than its factorization.

23430444403432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 40.

It can be divided in two parts, 2343044 and 4403432, that added together give a palindrome (6746476).

The spelling of 23430444403432 in words is "twenty-three trillion, four hundred thirty billion, four hundred forty-four million, four hundred three thousand, four hundred thirty-two".