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12414144440 = 235641484171
BaseRepresentation
bin10111000111111000…
…01100111110111000
31012001011101212201102
423203330030332320
5200411010110230
65411502110532
7616430325635
oct134374147670
935034355642
1012414144440
1152a0508505
1224a557b448
13122abb91c9
1485aa2518c
154c9cca045
hex2e3f0cfb8

12414144440 has 32 divisors (see below), whose sum is σ = 27975458160. Its totient is φ = 4957900800.

The previous prime is 12414144409. The next prime is 12414144461. The reversal of 12414144440 is 4444141421.

It is a happy number.

It is a super-2 number, since 2×124141444402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216446 + ... + 267725.

Almost surely, 212414144440 is an apocalyptic number.

12414144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414144440 is an abundant number, since it is smaller than the sum of its proper divisors (15561313720).

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

12414144440 is a wasteful number, since it uses less digits than its factorization.

12414144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484823 (or 484819 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 12414144440 its reverse (4444141421), we get a palindrome (16858285861).

The spelling of 12414144440 in words is "twelve billion, four hundred fourteen million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 641 1282 2564 3205 5128 6410 12820 25640 484171 968342 1936684 2420855 3873368 4841710 9683420 19366840 310353611 620707222 1241414444 1551768055 2482828888 3103536110 6207072220 12414144440