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1144437041448 = 233215894958909
BaseRepresentation
bin10000101001110101110…
…000110110100100101000
311001101222210012100211200
4100221311300312210220
5122222301340311243
62233425213324200
7145453134230151
oct20516560664450
94041883170750
101144437041448
11401397968a38
12165971796660
1383bc618c83c
143d569072928
151eb81c8bad3
hex10a75c36928

1144437041448 has 24 divisors (see below), whose sum is σ = 3099516987450. Its totient is φ = 381479013792.

The previous prime is 1144437041369. The next prime is 1144437041467. The reversal of 1144437041448 is 8441407344411.

It can be written as a sum of positive squares in only one way, i.e., 1127245111524 + 17191929924 = 1061718^2 + 131118^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×11444370414482 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7947479383 + ... + 7947479526.

Almost surely, 21144437041448 is an apocalyptic number.

1144437041448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1144437041448 is an abundant number, since it is smaller than the sum of its proper divisors (1955079946002).

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

1144437041448 is a wasteful number, since it uses less digits than its factorization.

1144437041448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15894958921 (or 15894958914 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 1144437041448 in words is "one trillion, one hundred forty-four billion, four hundred thirty-seven million, forty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 15894958909 31789917818 47684876727 63579835636 95369753454 127159671272 143054630181 190739506908 286109260362 381479013816 572218520724 1144437041448