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23441233214432 = 2511611091711681
BaseRepresentation
bin1010101010001110101100…
…11000001111101111100000
310001222221220211212110202202
411111013112120033233200
511033030121200330212
6121504430500432332
74636400416513115
oct525072630175740
9101887824773682
1023441233214432
11751840a046430
1227670996a86a8
131010663b57ab7
145b07c15bc90c
152a9b60da70c2
hex1551d660fbe0

23441233214432 has 48 divisors (see below), whose sum is σ = 51170709958704. Its totient is φ = 10480432128000.

The previous prime is 23441233214417. The next prime is 23441233214437.

23441233214432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234412332144322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23441233214437) 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 7 ways as a sum of consecutive naturals, for example, 545834369 + ... + 545877312.

It is an arithmetic number, because the mean of its divisors is an integer number (1066056457473).

Almost surely, 223441233214432 is an apocalyptic number.

23441233214432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23441233214432 is an abundant number, since it is smaller than the sum of its proper divisors (27729476744272).

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

23441233214432 is a wasteful number, since it uses less digits than its factorization.

23441233214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091711763 (or 1091711755 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2344123 and 3214432, that added together give a palindrome (5558555).

The spelling of 23441233214432 in words is "twenty-three trillion, four hundred forty-one billion, two hundred thirty-three million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 21472 1091711681 2183423362 4366846724 8733693448 12008828491 17467386896 24017656982 34934773792 48035313964 66594412541 96070627928 133188825082 192141255856 266377650164 384282511712 532755300328 732538537951 1065510600656 1465077075902 2131021201312 2930154151804 5860308303608 11720616607216 23441233214432