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1334523672240 = 2435113373149867
BaseRepresentation
bin10011011010110111110…
…011110011011010110000
311201120122020201201022120
4103122313303303122300
5133331101030002430
62501023253434240
7165262512023133
oct23326763633260
94646566651276
101334523672240
11474a71905120
1219678133b980
1398aca733a75
144883c70221a
1524aa9c66610
hex136b7cf36b0

1334523672240 has 160 divisors (see below), whose sum is σ = 4514484554496. Its totient is φ = 323422817280.

The previous prime is 1334523672217. The next prime is 1334523672269. The reversal of 1334523672240 is 422763254331.

It is a junction number, because it is equal to n+sod(n) for n = 1334523672192 and 1334523672201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8829787 + ... + 8979653.

Almost surely, 21334523672240 is an apocalyptic number.

1334523672240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334523672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257242277248).

1334523672240 is an abundant number, since it is smaller than the sum of its proper divisors (3179960882256).

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

1334523672240 is a wasteful number, since it uses less digits than its factorization.

1334523672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153267 (or 153261 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 1334523672240 in words is "one trillion, three hundred thirty-four billion, five hundred twenty-three million, six hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3373 6746 10119 13492 16865 20238 26984 33730 37103 40476 50595 53968 67460 74206 80952 101190 111309 134920 148412 149867 161904 185515 202380 222618 269840 296824 299734 371030 404760 445236 449601 556545 593648 599468 742060 749335 809520 890472 899202 1113090 1198936 1484120 1498670 1648537 1780944 1798404 2226180 2248005 2397872 2968240 2997340 3297074 3596808 4452360 4496010 4945611 5994680 6594148 7193616 8242685 8904720 8992020 9891222 11989360 13188296 16485370 17984040 19782444 24728055 26376592 32970740 35968080 39564888 49456110 65941480 79129776 98912220 131882960 197824440 395648880 505501391 1011002782 1516504173 2022005564 2527506955 3033008346 4044011128 5055013910 5560515301 6066016692 7582520865 8088022256 10110027820 11121030602 12132033384 15165041730 16681545903 20220055640 22242061204 24264066768 27802576505 30330083460 33363091806 40440111280 44484122408 55605153010 60660166920 66726183612 83407729515 88968244816 111210306020 121320333840 133452367224 166815459030 222420612040 266904734448 333630918060 444841224080 667261836120 1334523672240