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11434447361288 = 2371737332201003
BaseRepresentation
bin1010011001100100101000…
…1011000101010100001000
31111111010022022000022110002
42212121022023011110020
52444320222011030123
640152525042142132
72260053156626150
oct246311213052410
944433268008402
1011434447361288
11370935a492736
1213480a5351948
1364c3576307c3
142b76046a9760
1514c68236d528
hexa664a2c5508

11434447361288 has 64 divisors (see below), whose sum is σ = 26013259071360. Its totient is φ = 4599848733696.

The previous prime is 11434447361273. The next prime is 11434447361333. The reversal of 11434447361288 is 88216374443411.

It is a happy number.

It is a super-2 number, since 2×114344473612882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15745406 + ... + 16455597.

It is an arithmetic number, because the mean of its divisors is an integer number (406457172990).

Almost surely, 211434447361288 is an apocalyptic number.

It is an amenable number.

11434447361288 is an abundant number, since it is smaller than the sum of its proper divisors (14578811710072).

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

11434447361288 is a wasteful number, since it uses less digits than its factorization.

11434447361288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32201406 (or 32201402 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 56.

The spelling of 11434447361288 in words is "eleven trillion, four hundred thirty-four billion, four hundred forty-seven million, three hundred sixty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 373 476 746 952 1492 2611 2984 5222 6341 10444 12682 20888 25364 44387 50728 88774 177548 355096 32201003 64402006 128804012 225407021 257608024 450814042 547417051 901628084 1094834102 1803256168 2189668204 3831919357 4379336408 7663838714 12010974119 15327677428 24021948238 30655354856 48043896476 84076818833 96087792952 168153637666 204186560023 336307275332 408373120046 672614550664 816746240092 1429305920161 1633492480184 2858611840322 5717223680644 11434447361288