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1326040806240 = 253252408338237
BaseRepresentation
bin10011010010111110001…
…100001111001101100000
311200202202001201110210100
4103102332030033031200
5133211212421244430
62453101424302400
7164542345610313
oct23227614171540
94622661643710
101326040806240
11471409513367
12194bb4471a00
1398078157627
1448275c6297a
1524760189960
hex134be30f360

1326040806240 has 144 divisors (see below), whose sum is σ = 4525420496688. Its totient is φ = 353586951168.

The previous prime is 1326040806191. The next prime is 1326040806269. The reversal of 1326040806240 is 426080406231.

1326040806240 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 0 + 408 + 0 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1326040806195 and 1326040806204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34660402 + ... + 34698638.

It is an arithmetic number, because the mean of its divisors is an integer number (31426531227).

Almost surely, 21326040806240 is an apocalyptic number.

1326040806240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1326040806240 is an abundant number, since it is smaller than the sum of its proper divisors (3199379690448).

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

1326040806240 is a wasteful number, since it uses less digits than its factorization.

1326040806240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62341 (or 62330 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1326040806240 in words is "one trillion, three hundred twenty-six billion, forty million, eight hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 24083 38237 48166 72249 76474 96332 114711 120415 144498 152948 191185 192664 216747 229422 240830 288996 305896 344133 361245 382370 385328 433494 458844 481660 573555 577992 611792 688266 722490 764740 770656 866988 917688 963320 1083735 1147110 1155984 1223584 1376532 1444980 1529480 1720665 1733976 1835376 1926640 2167470 2294220 2311968 2753064 2889960 3058960 3441330 3467952 3670752 3853280 4334940 4588440 5506128 5779920 6117920 6882660 6935904 8669880 9176880 11012256 11559840 13765320 17339760 18353760 27530640 34679520 55061280 920861671 1841723342 2762585013 3683446684 4604308355 5525170026 7366893368 8287755039 9208616710 11050340052 13812925065 14733786736 16575510078 18417233420 22100680104 27625850130 29467573472 33151020156 36834466840 41438775195 44201360208 55251700260 66302040312 73668933680 82877550390 88402720416 110503400520 132604080624 147337867360 165755100780 221006801040 265208161248 331510201560 442013602080 663020403120 1326040806240