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4144427635520 = 26553244364837
BaseRepresentation
bin111100010011110011001…
…000110001001101000000
3112200012111021202202210002
4330103303020301031000
51020400241433314040
612451531311255132
7605265531440564
oct74236310611500
915605437682702
104144427635520
11135870739a917
1256b27451a4a8
13240a82a783b3
1410483c9db6a4
1572c15773a15
hex3c4f3231340

4144427635520 has 56 divisors (see below), whose sum is σ = 10055124354024. Its totient is φ = 1626492348416.

The previous prime is 4144427635477. The next prime is 4144427635571. The reversal of 4144427635520 is 255367244414.

It can be written as a sum of positive squares in 4 ways, for example, as 315924933184 + 3828502702336 = 562072^2 + 1956656^2 .

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, 122165459 + ... + 122199378.

Almost surely, 24144427635520 is an apocalyptic number.

4144427635520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144427635520 is an abundant number, since it is smaller than the sum of its proper divisors (5910696718504).

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

4144427635520 is a wasteful number, since it uses less digits than its factorization.

4144427635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244364907 (or 244364897 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 47.

The spelling of 4144427635520 in words is "four trillion, one hundred forty-four billion, four hundred twenty-seven million, six hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 244364837 488729674 977459348 1221824185 1954918696 2443648370 3909837392 4887296740 7819674784 9774593480 12951336361 15639349568 19549186960 25902672722 39098373920 51805345444 64756681805 78196747840 103610690888 129513363610 207221381776 259026727220 414442763552 518053454440 828885527104 1036106908880 2072213817760 4144427635520