Search a number
-
+
1412689344 = 263113121577
BaseRepresentation
bin101010000110011…
…1110110111000000
310122110020001110120
41110030332313000
510343122024334
6352102500240
750002442553
oct12414766700
93573201416
101412689344
11665476460
12335134680
131968a2471
14d589669a
158404e949
hex5433edc0

1412689344 has 112 divisors (see below), whose sum is σ = 4209263616. Its totient is φ = 414259200.

The previous prime is 1412689339. The next prime is 1412689351. The reversal of 1412689344 is 4439862141.

It is a junction number, because it is equal to n+sod(n) for n = 1412689296 and 1412689305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54684 + ... + 76260.

Almost surely, 21412689344 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 1412689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104631808).

1412689344 is an abundant number, since it is smaller than the sum of its proper divisors (2796574272).

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

1412689344 is a wasteful number, since it uses less digits than its factorization.

1412689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21634 (or 21624 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 1412689344 is about 37585.7598566266. The cubic root of 1412689344 is about 1122.0586457061.

The spelling of 1412689344 in words is "one billion, four hundred twelve million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 4092 5456 5952 8184 10912 16368 21577 21824 32736 43154 64731 65472 86308 129462 172616 237347 258924 345232 474694 517848 668887 690464 712041 949388 1035696 1337774 1380928 1424082 1898776 2006661 2071392 2675548 2848164 3797552 4013322 4142784 5351096 5696328 7357757 7595104 8026644 10702192 11392656 14715514 15190208 16053288 21404384 22073271 22785312 29431028 32106576 42808768 44146542 45570624 58862056 64213152 88293084 117724112 128426304 176586168 235448224 353172336 470896448 706344672 1412689344