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44121555512144 = 24112310899593753
BaseRepresentation
bin10100000100000110110011…
…01001001010101101010000
312210012222110001202112020222
422002003121221022231100
521240341421202342034
6233501055054452212
712202451163623105
oct1202033151125520
9183188401675228
1044121555512144
1113070934927090
124b47077804068
131b8084c907b36
14ac76cd594aac
15517a824e012e
hex2820d9a4ab50

44121555512144 has 40 divisors (see below), whose sum is σ = 97311573035712. Its totient is φ = 19183285003520.

The previous prime is 44121555512143. The next prime is 44121555512159.

It is a happy number.

44121555512144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441215555121442 (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 a junction number, because it is equal to n+sod(n) for n = 44121555512095 and 44121555512104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44121555512143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5449792829 + ... + 5449800924.

Almost surely, 244121555512144 is an apocalyptic number.

44121555512144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44121555512144 is an abundant number, since it is smaller than the sum of its proper divisors (53190017523568).

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

44121555512144 is a wasteful number, since it uses less digits than its factorization.

44121555512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10899593795 (or 10899593789 counting only the distinct ones).

The product of its digits is 640000, while the sum is 44.

It can be divided in two parts, 4412155 and 5512144, that added together give a palindrome (9924299).

The spelling of 44121555512144 in words is "forty-four trillion, one hundred twenty-one billion, five hundred fifty-five million, five hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 10899593753 21799187506 43598375012 87196750024 119895531283 174393500048 239791062566 250690656319 479582125132 501381312638 959164250264 1002762625276 1918328500528 2005525250552 2757597219509 4011050501104 5515194439018 11030388878036 22060777756072 44121555512144