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1334101343670 = 2325711223170711
BaseRepresentation
bin10011011010011110101…
…000101111110110110110
311201112112211001012102200
4103122132220233312312
5133324214420444140
62500513325445330
7165246163213404
oct23323650576666
94645484035380
101334101343670
11474875479447
12196683a10846
1398a610a51c4
14487dc5a8474
1524a82b42030
hex1369ea2fdb6

1334101343670 has 96 divisors (see below), whose sum is σ = 3520414669824. Its totient is φ = 350460801600.

The previous prime is 1334101343639. The next prime is 1334101343671. The reversal of 1334101343670 is 763431014331.

1334101343670 is a `hidden beast` number, since 13 + 3 + 410 + 134 + 36 + 70 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334101343671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7729615 + ... + 7900325.

It is an arithmetic number, because the mean of its divisors is an integer number (36670986144).

Almost surely, 21334101343670 is an apocalyptic number.

1334101343670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334101343670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760207334912).

1334101343670 is an abundant number, since it is smaller than the sum of its proper divisors (2186313326154).

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

1334101343670 is a wasteful number, since it uses less digits than its factorization.

1334101343670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172018 (or 172015 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 1334101343670 in words is "one trillion, three hundred thirty-four billion, one hundred one million, three hundred forty-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1223 1278 2130 2446 3195 3669 6115 6390 7338 11007 12230 18345 22014 36690 55035 86833 110070 170711 173666 260499 341422 434165 512133 520998 781497 853555 868330 1024266 1302495 1536399 1562994 1707110 2560665 2604990 3072798 3907485 5121330 7681995 7814970 12120481 15363990 24240962 36361443 60602405 72722886 109084329 121204810 181807215 208779553 218168658 363614430 417559106 545421645 626338659 1043897765 1090843290 1252677318 1879015977 2087795530 3131693295 3758031954 6263386590 9395079885 14823348263 18790159770 29646696526 44470044789 74116741315 88940089578 133410134367 148233482630 222350223945 266820268734 444700447890 667050671835 1334101343670