Search a number
-
+
1334744974296 = 2335262032
BaseRepresentation
bin10011011011000101000…
…000000000001111011000
311201121012200011000200000
4103123011000000033120
5133332024203134141
62501101241013000
7165301140041466
oct23330500001730
94647180130600
101334744974296
11475075817688
12196823484160
1398b34539026
144885dc6b836
1524abe3cc5b6
hex136c50003d8

1334744974296 has 72 divisors (see below), whose sum is σ = 3748963834980. Its totient is φ = 444898011888.

The previous prime is 1334744974273. The next prime is 1334744974309. The reversal of 1334744974296 is 6924794474331.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1334744974296 is a `hidden beast` number, since 1 + 3 + 3 + 474 + 4 + 9 + 74 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50925531 + ... + 50951733.

Almost surely, 21334744974296 is an apocalyptic number.

It is an amenable number.

1334744974296 is an abundant number, since it is smaller than the sum of its proper divisors (2414218860684).

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

1334744974296 is an frugal number, since it uses more digits than its factorization.

1334744974296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52427 (or 26208 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 1334744974296 in words is "one trillion, three hundred thirty-four billion, seven hundred forty-four million, nine hundred seventy-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 26203 52406 78609 104812 157218 209624 235827 314436 471654 628872 707481 943308 1414962 1886616 2122443 2829924 4244886 5659848 6367329 8489772 12734658 16979544 25469316 50938632 686597209 1373194418 2059791627 2746388836 4119583254 5492777672 6179374881 8239166508 12358749762 16478333016 18538124643 24717499524 37076249286 49434999048 55614373929 74152498572 111228747858 148304997144 166843121787 222457495716 333686243574 444914991432 667372487148 1334744974296