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1407144226360 = 235192580171761
BaseRepresentation
bin10100011110100000010…
…101001110111000111000
311222112002022010002122011
4110132200111032320320
5141023312410220420
62554233320135304
7203443226401225
oct24364025167070
94875068102564
101407144226360
114a28482602a4
121a8869907534
13a2901a69a52
144c16b38a94c
152690a46795a
hex147a054ee38

1407144226360 has 64 divisors (see below), whose sum is σ = 3332885623200. Its totient is φ = 533205504000.

The previous prime is 1407144226351. The next prime is 1407144226361. The reversal of 1407144226360 is 636224417041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407144226361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19572880 + ... + 19644640.

Almost surely, 21407144226360 is an apocalyptic number.

1407144226360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407144226360 is an abundant number, since it is smaller than the sum of its proper divisors (1925741396840).

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

1407144226360 is a wasteful number, since it uses less digits than its factorization.

1407144226360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97592 (or 97588 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 1407144226360 in words is "one trillion, four hundred seven billion, one hundred forty-four million, two hundred twenty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 25801 51602 71761 103204 129005 143522 206408 258010 287044 358805 490219 516020 574088 717610 980438 1032040 1363459 1435220 1960876 2451095 2726918 2870440 3921752 4902190 5453836 6817295 9804380 10907672 13634590 19608760 27269180 54538360 1851505561 3703011122 7406022244 9257527805 14812044488 18515055610 35178605659 37030111220 70357211318 74060222440 140714422636 175893028295 281428845272 351786056590 703572113180 1407144226360