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13427061144 = 2337247242927
BaseRepresentation
bin11001000000101000…
…01011000110011000
31021122202101101012220
430200110023012120
5204444311424034
610100204304040
7653510064600
oct144024130630
937582341186
1013427061144
115770253852
122728842020
13135c9c96c3
14915375c00
15538bad749
hex32050b198

13427061144 has 96 divisors (see below), whose sum is σ = 39879060480. Its totient is φ = 3754664256.

The previous prime is 13427061139. The next prime is 13427061163. The reversal of 13427061144 is 44116072431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66192 + ... + 176735.

It is an arithmetic number, because the mean of its divisors is an integer number (415406880).

Almost surely, 213427061144 is an apocalyptic number.

13427061144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13427061144 is an abundant number, since it is smaller than the sum of its proper divisors (26451999336).

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

13427061144 is a wasteful number, since it uses less digits than its factorization.

13427061144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242997 (or 242986 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 13427061144 in words is "thirteen billion, four hundred twenty-seven million, sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 282 294 329 376 392 564 588 658 987 1128 1176 1316 1974 2303 2632 3948 4606 6909 7896 9212 13818 18424 27636 55272 242927 485854 728781 971708 1457562 1700489 1943416 2915124 3400978 5101467 5830248 6801956 10202934 11417569 11903423 13603912 20405868 22835138 23806846 34252707 35710269 40811736 45670276 47613692 68505414 71420538 79922983 91340552 95227384 137010828 142841076 159845966 239768949 274021656 285682152 319691932 479537898 559460881 639383864 959075796 1118921762 1678382643 1918151592 2237843524 3356765286 4475687048 6713530572 13427061144