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1290491942328 = 23348641230471
BaseRepresentation
bin10010110001110111010…
…100000101010110111000
311120100222121021002010000
4102301313110011112320
5132120411414123303
62424502132553000
7162143410343541
oct22616724052670
94510877232100
101290491942328
11458327070796
1218a133182760
1394901300604
14466628c14c8
152387e33cda3
hex12c775055b8

1290491942328 has 80 divisors (see below), whose sum is σ = 3615006328560. Its totient is φ = 430112332800.

The previous prime is 1290491942309. The next prime is 1290491942401. The reversal of 1290491942328 is 8232491940921.

It is a happy number.

1290491942328 is a `hidden beast` number, since 1 + 2 + 90 + 49 + 194 + 2 + 328 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5484133 + ... + 5714603.

It is an arithmetic number, because the mean of its divisors is an integer number (45187579107).

Almost surely, 21290491942328 is an apocalyptic number.

1290491942328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1290491942328 is an abundant number, since it is smaller than the sum of its proper divisors (2324514386232).

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

1290491942328 is a wasteful number, since it uses less digits than its factorization.

1290491942328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239130 (or 239117 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1290491942328 in words is "one trillion, two hundred ninety billion, four hundred ninety-one million, nine hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 8641 17282 25923 34564 51846 69128 77769 103692 155538 207384 230471 233307 311076 460942 466614 622152 691413 699921 921884 933228 1382826 1399842 1843768 1866456 2074239 2765652 2799684 4148478 5531304 5599368 6222717 8296956 12445434 16593912 18668151 24890868 37336302 49781736 74672604 149345208 1991499911 3982999822 5974499733 7965999644 11948999466 15931999288 17923499199 23897998932 35846998398 47795997864 53770497597 71693996796 107540995194 143387993592 161311492791 215081990388 322622985582 430163980776 645245971164 1290491942328