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23434434034440 = 2335111323181328043
BaseRepresentation
bin1010101010000010000010…
…00111011011101100001000
310001222022101000000100020120
411111001001013123230020
511032422210103100230
6121501344054423240
74636040056444662
oct525010107335410
9101868330010216
1023434434034440
117515540094910
122765900661b20
13100cb1c335480
145b03385b9532
152a98b400a310
hex1550411dbb08

23434434034440 has 512 divisors, whose sum is σ = 86661561692160. Its totient is φ = 4988337868800.

The previous prime is 23434434034423. The next prime is 23434434034547. The reversal of 23434434034440 is 4443043443432.

It is a super-2 number, since 2×234344340344402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23434434034392 and 23434434034401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71273059 + ... + 71601101.

It is an arithmetic number, because the mean of its divisors is an integer number (169260862680).

Almost surely, 223434434034440 is an apocalyptic number.

23434434034440 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 23434434034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330780846080).

23434434034440 is an abundant number, since it is smaller than the sum of its proper divisors (63227127657720).

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

23434434034440 is a wasteful number, since it uses less digits than its factorization.

23434434034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328285 (or 328281 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 42.

Adding to 23434434034440 its reverse (4443043443432), we get a palindrome (27877477477872).

The spelling of 23434434034440 in words is "twenty-three trillion, four hundred thirty-four billion, four hundred thirty-four million, thirty-four thousand, four hundred forty".