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1334231033344 = 29111723605887
BaseRepresentation
bin10011011010100110010…
…111011110011000000000
311201112212212002010012221
4103122212113132120000
5133330001121031334
62500534241300424
7165252326442406
oct23324627363000
94645785063187
101334231033344
114749316a91a0
121966bb334714
1398a81c12661
14488118c7476
1524a8e20d8b4
hex136a65de600

1334231033344 has 160 divisors (see below), whose sum is σ = 3213164630016. Its totient is φ = 545975992320.

The previous prime is 1334231033299. The next prime is 1334231033357. The reversal of 1334231033344 is 4433301324331.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 1899169 + ... + 2505055.

Almost surely, 21334231033344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334231033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606582315008).

1334231033344 is an abundant number, since it is smaller than the sum of its proper divisors (1878933596672).

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

1334231033344 is a wasteful number, since it uses less digits than its factorization.

1334231033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605956 (or 605940 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 1334231033344 its reverse (4433301324331), we get a palindrome (5767532357675).

The spelling of 1334231033344 in words is "one trillion, three hundred thirty-four billion, two hundred thirty-one million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 64 68 88 92 128 136 176 184 187 253 256 272 352 368 374 391 506 512 544 704 736 748 782 1012 1088 1408 1472 1496 1564 2024 2176 2816 2944 2992 3128 4048 4301 4352 5632 5888 5984 6256 8096 8602 8704 11776 11968 12512 16192 17204 23936 25024 32384 34408 47872 50048 64768 68816 95744 100096 129536 137632 200192 275264 550528 605887 1101056 1211774 2202112 2423548 4847096 6664757 9694192 10300079 13329514 13935401 19388384 20600158 26659028 27870802 38776768 41200316 53318056 55741604 77553536 82400632 106636112 111483208 113300869 153289411 155107072 164801264 213272224 222966416 226601738 236901817 306578822 310214144 329602528 426544448 445932832 453203476 473803634 613157644 659205056 853088896 891865664 906406952 947607268 1226315288 1318410112 1706177792 1783731328 1812813904 1895214536 2452630576 2605919987 2636820224 3412355584 3567462656 3625627808 3790429072 4905261152 5211839974 5273640448 7134925312 7251255616 7580858144 9810522304 10423679948 14502511232 15161716288 19621044608 20847359896 29005022464 30323432576 39242089216 41694719792 58010044928 60646865152 78484178432 83389439584 121293730304 166778879168 333557758336 667115516672 1334231033344