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1431241013440 = 2657738752697
BaseRepresentation
bin10100110100111100100…
…111001011100011000000
312001211021122110201020201
4110310330213023203000
5141422140144412230
63013300354014544
7205255325612620
oct24647447134300
95054248421221
101431241013440
11501a93270067
121b1473877454
13a4c72123344
144d3b57bc880
152736abc65ca
hex14d3c9cb8c0

1431241013440 has 112 divisors (see below), whose sum is σ = 3948377078592. Its totient is φ = 483989078016.

The previous prime is 1431241013417. The next prime is 1431241013459. The reversal of 1431241013440 is 443101421341.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1431241013399 and 1431241013408.

It is an unprimeable number.

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, 4212829 + ... + 4539868.

Almost surely, 21431241013440 is an apocalyptic number.

1431241013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1431241013440 is an abundant number, since it is smaller than the sum of its proper divisors (2517136065152).

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

1431241013440 is an equidigital number, since it uses as much as digits as its factorization.

1431241013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752794 (or 8752784 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1431241013440 its reverse (443101421341), we get a palindrome (1874342434781).

The spelling of 1431241013440 in words is "one trillion, four hundred thirty-one billion, two hundred forty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 140 146 160 224 280 292 320 365 448 511 560 584 730 1022 1120 1168 1460 2044 2240 2336 2555 2920 4088 4672 5110 5840 8176 10220 11680 16352 20440 23360 32704 40880 81760 163520 8752697 17505394 35010788 43763485 61268879 70021576 87526970 122537758 140043152 175053940 245075516 280086304 306344395 350107880 490151032 560172608 612688790 638946881 700215760 980302064 1225377580 1277893762 1400431520 1960604128 2450755160 2555787524 2800863040 3194734405 3921208256 4472628167 4901510320 5111575048 6389468810 8945256334 9803020640 10223150096 12778937620 17890512668 19606041280 20446300192 22363140835 25557875240 35781025336 40892600384 44726281670 51115750480 71562050672 89452563340 102231500960 143124101344 178905126680 204463001920 286248202688 357810253360 715620506720 1431241013440