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1319939040996 = 22348327692
BaseRepresentation
bin10011001101010010011…
…111110110011011100100
311200011222211011200110000
4103031102133312123210
5133111213343302441
62450212134301300
7164235214505262
oct23152237663344
94604884150400
101319939040996
114698681a5874
12193990ab7830
1397614c7a754
1447c57723432
152450464e2b6
hex133527f66e4

1319939040996 has 135 divisors (see below), whose sum is σ = 3497203255161. Its totient is φ = 434113468416.

The previous prime is 1319939040977. The next prime is 1319939041021. The reversal of 1319939040996 is 6990409399131.

The square root of 1319939040996 is 1148886.

It is a perfect power (a square), and thus also a powerful number.

1319939040996 is a `hidden beast` number, since 1 + 3 + 199 + 39 + 0 + 409 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 516406080996 + 803532960000 = 718614^2 + 896400^2 .

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 44 ways as a sum of consecutive naturals, for example, 1716435300 + ... + 1716436068.

Almost surely, 21319939040996 is an apocalyptic number.

1319939040996 is the 1148886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319939040996

1319939040996 is an abundant number, since it is smaller than the sum of its proper divisors (2177264214165).

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

1319939040996 is an frugal number, since it uses more digits than its factorization.

1319939040996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 12754584, while the sum is 63.

The spelling of 1319939040996 in words is "one trillion, three hundred nineteen billion, nine hundred thirty-nine million, forty thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 769 996 1494 1538 2241 2307 2988 3076 4482 4614 6723 6889 6921 8964 9228 13446 13778 13842 20667 20763 26892 27556 27684 41334 41526 62001 62289 63827 82668 83052 124002 124578 127654 186003 191481 248004 249156 255308 372006 382962 558009 574443 591361 744012 765924 1116018 1148886 1182722 1723329 1774083 2232036 2297772 2365444 3446658 3548166 5169987 5297641 5322249 6893316 7096332 10339974 10595282 10644498 15892923 15966747 20679948 21190564 21288996 31785846 31933494 47678769 47900241 49082963 63571692 63866988 95357538 95800482 98165926 143036307 147248889 190715076 191600964 196331852 286072614 294497778 429108921 441746667 572145228 588995556 858217842 883493334 1325240001 1716435684 1766986668 2650480002 3975720003 4073885929 5300960004 7951440006 8147771858 12221657787 15902880012 16295543716 24443315574 36664973361 48886631148 73329946722 109994920083 146659893444 219989840166 329984760249 439979680332 659969520498 1319939040996