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1334996994331 = 73116133
BaseRepresentation
bin10011011011010100000…
…001011000100100011011
311201121212020100222011101
4103123110001120210123
5133333033212304311
62501142242412231
7165310320136000
oct23332401304433
94647766328141
101334996994331
11475195000000
12196893961077
1398b74808000
14488855118a7
1524ad65aeec1
hex136d405891b

1334996994331 has 112 divisors (see below), whose sum is σ = 1855178584000. Its totient is φ = 960237598320.

The previous prime is 1334996994311. The next prime is 1334996994377.

The cubic root of 1334996994331 is 11011.

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

1334996994331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1334996994331 - 25 = 1334996994299 is a prime.

It is a super-2 number, since 2×13349969943312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334996994311) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 102692076481 + ... + 102692076493.

It is an arithmetic number, because the mean of its divisors is an integer number (16564094500).

Almost surely, 21334996994331 is an apocalyptic number.

1334996994331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1334996994331 is a deficient number, since it is larger than the sum of its proper divisors (520181589669).

1334996994331 is an frugal number, since it uses more digits than its factorization.

1334996994331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 31 counting only the distinct ones).

The product of its digits is 51018336, while the sum is 64.

Multiplying 1334996994331 by its sum of digits (64), we get a cube (85439807637184 = 440443).

The spelling of 1334996994331 in words is "one trillion, three hundred thirty-four billion, nine hundred ninety-six million, nine hundred ninety-four thousand, three hundred thirty-one".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1331 1573 1859 2197 3773 4459 5929 7007 8281 9317 11011 13013 14641 15379 17303 20449 24167 41503 49049 57967 65219 77077 91091 102487 107653 121121 143143 161051 169169 190333 224939 265837 456533 539539 637637 717409 753571 847847 1002001 1127357 1184183 1332331 1574573 1771561 1860859 2093663 2474329 2924207 5021863 5934929 7014007 7891499 8289281 9326317 11022011 12400927 13026013 14655641 17320303 20469449 23030293 27217619 32166277 55240493 65284219 77154077 86806489 91182091 102589487 121242121 143286143 161212051 190523333 225163939 299393809 353829047 607645423 718126409 848694847 1003003001 1128484357 1333663331 1576147573 2095756663 2476803329 3892119517 7899390499 9335643317 11033033011 14670296641 17337623303 27244836619 102692076487 121363363121 190713856333 1334996994331