Search a number
-
+
1412315028432 = 243371142457763
BaseRepresentation
bin10100100011010100100…
…010010001101111010000
312000000102122220001121000
4110203110202101233100
5141114410121402212
63000450352302000
7204015324445020
oct24432442215720
95000378801530
101412315028432
114a4a61018440
121a9871541900
13a32470cba49
144c4dbdcda80
1526b0e3ac1dc
hex148d4891bd0

1412315028432 has 160 divisors (see below), whose sum is σ = 5054172226560. Its totient is φ = 366835063680.

The previous prime is 1412315028431. The next prime is 1412315028469. The reversal of 1412315028432 is 2348205132141.

1412315028432 is a `hidden beast` number, since 1 + 4 + 12 + 31 + 502 + 84 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412315028431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21195618 + ... + 21262145.

It is an arithmetic number, because the mean of its divisors is an integer number (31588576416).

Almost surely, 21412315028432 is an apocalyptic number.

1412315028432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1412315028432 is an abundant number, since it is smaller than the sum of its proper divisors (3641857198128).

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

1412315028432 is a wasteful number, since it uses less digits than its factorization.

1412315028432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42457798 (or 42457786 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1412315028432 in words is "one trillion, four hundred twelve billion, three hundred fifteen million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 42457763 84915526 127373289 169831052 254746578 297204341 339662104 382119867 467035393 509493156 594408682 679324208 764239734 891613023 934070786 1018986312 1146359601 1188817364 1401106179 1528479468 1783226046 1868141572 2037972624 2292719202 2377634728 2674839069 2802212358 3056958936 3269247751 3566452092 3736283144 4203318537 4585438404 4755269456 5349678138 5604424716 6113917872 6538495502 7132904184 7472566288 8024517207 8406637074 9170876808 9807743253 10699356276 11208849432 12609955611 13076991004 14265808368 16049034414 16813274148 18341753616 19615486506 21398712552 22417698864 25219911222 26153982008 29423229759 32098068828 33626548296 39230973012 42797425104 50439822444 52307964016 58846459518 64196137656 67253096592 78461946024 88269689277 100879644888 117692919036 128392275312 156923892048 176539378554 201759289776 235385838072 353078757108 470771676144 706157514216 1412315028432