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1424200351464 = 2332116829263323
BaseRepresentation
bin10100101110011000111…
…101001011111011101000
312001011002222020000201100
4110232120331023323220
5141313230242221324
63010134004121400
7204616004150412
oct24563075137350
95034088200640
101424200351464
114a9aaaa73560
121b0029996260
13a43bc581477
144cd086b99b2
15270a7a294c9
hex14b98f4bee8

1424200351464 has 96 divisors (see below), whose sum is σ = 4208496832800. Its totient is φ = 431511027840.

The previous prime is 1424200351433. The next prime is 1424200351481. The reversal of 1424200351464 is 4641530024241.

1424200351464 is a `hidden beast` number, since 1 + 4 + 242 + 0 + 0 + 351 + 4 + 64 = 666.

It is a super-2 number, since 2×14242003514642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5276907 + ... + 5540229.

It is an arithmetic number, because the mean of its divisors is an integer number (43838508675).

Almost surely, 21424200351464 is an apocalyptic number.

It is an amenable number.

1424200351464 is an abundant number, since it is smaller than the sum of its proper divisors (2784296481336).

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

1424200351464 is a wasteful number, since it uses less digits than its factorization.

1424200351464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270175 (or 270168 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1424200351464 in words is "one trillion, four hundred twenty-four billion, two hundred million, three hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 6829 13658 20487 27316 40974 54632 61461 75119 81948 122922 150238 163896 225357 245844 263323 300476 450714 491688 526646 600952 676071 789969 901428 1053292 1352142 1579938 1802856 2106584 2369907 2704284 2896553 3159876 4739814 5408568 5793106 6319752 8689659 9479628 11586212 17379318 18959256 23172424 26068977 34758636 52137954 69517272 104275908 208551816 1798232767 3596465534 5394698301 7192931068 10789396602 14385862136 16184094903 19780560437 21578793204 32368189806 39561120874 43157586408 59341681311 64736379612 79122241748 118683362622 129472759224 158244483496 178025043933 237366725244 356050087866 474733450488 712100175732 1424200351464