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23441266214432 = 25112341227331069
BaseRepresentation
bin1010101010001110110000…
…10110001000011000100000
310001222222000010222001020222
411111013120112020120200
511033030203122330212
6121504434040022212
74636401300145043
oct525073026103040
9101888003861228
1023441266214432
117518426735860
1227670a8761968
13101066a940421
145b07c5b2cc5a
152a9b63c24c72
hex1551d8588620

23441266214432 has 192 divisors, whose sum is σ = 53841114512640. Its totient is φ = 9938578636800.

The previous prime is 23441266214423. The next prime is 23441266214437.

23441266214432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234412662144322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (23441266214437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 754474994 + ... + 754506062.

It is an arithmetic number, because the mean of its divisors is an integer number (280422471420).

Almost surely, 223441266214432 is an apocalyptic number.

23441266214432 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 23441266214432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26920557256320).

23441266214432 is an abundant number, since it is smaller than the sum of its proper divisors (30399848298208).

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

23441266214432 is a wasteful number, since it uses less digits than its factorization.

23441266214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33427 (or 33419 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 2344126 and 6214432, that added together give a palindrome (8558558).

The spelling of 23441266214432 in words is "twenty-three trillion, four hundred forty-one billion, two hundred sixty-six million, two hundred fourteen thousand, four hundred thirty-two".