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420131431344330 = 232517219850141507
BaseRepresentation
bin101111110000110110111100…
…0101110010110100011001010
32001002120011122210222200201100
41133201231320232112203022
5420031413132411004310
64045313414243002230
7154331331344652156
oct13741557056264312
92032504583880640
10420131431344330
1111195981520aa62
123b154352369376
13150572bb10a904
1475a66810c2066
1533888b180eec0
hex17e1b78b968ca

420131431344330 has 144 divisors (see below), whose sum is σ = 1221449313034080. Its totient is φ = 99895027521024.

The previous prime is 420131431344307. The next prime is 420131431344341. The reversal of 420131431344330 is 33443134131024.

420131431344330 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 3 + 1 + 4 + 313 + 4 + 4 + 330 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424576564 + ... + 425564943.

It is an arithmetic number, because the mean of its divisors is an integer number (8482286896070).

Almost surely, 2420131431344330 is an apocalyptic number.

420131431344330 is an abundant number, since it is smaller than the sum of its proper divisors (801317881689750).

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

420131431344330 is a wasteful number, since it uses less digits than its factorization.

420131431344330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850141573 (or 850141553 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 420131431344330 its reverse (33443134131024), we get a palindrome (453574565475354).

The spelling of 420131431344330 in words is "four hundred twenty trillion, one hundred thirty-one billion, four hundred thirty-one million, three hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 289 306 323 342 510 570 578 646 765 855 867 969 1445 1530 1615 1710 1734 1938 2601 2890 2907 3230 4335 4845 5202 5491 5814 8670 9690 10982 13005 14535 16473 26010 27455 29070 32946 49419 54910 82365 98838 164730 247095 494190 850141507 1700283014 2550424521 4250707535 5100849042 7651273563 8501415070 12752122605 14452405619 15302547126 16152688633 25504245210 28904811238 32305377266 38256367815 43357216857 48458065899 72262028095 76512735630 80763443165 86714433714 96916131798 130071650571 144524056190 145374197697 161526886330 216786084285 242290329495 245690895523 260143301142 274595706761 290748395394 433572168570 484580658990 491381791046 549191413522 650358252855 726870988485 737072686569 823787120283 1228454477615 1300716505710 1372978533805 1453741976970 1474145373138 1647574240566 2211218059707 2456908955230 2471361360849 2745957067610 3685363432845 4118935601415 4422436119414 4668127014937 4942722721698 7370726865690 8237871202830 9336254029874 11056090298535 12356806804245 14004381044811 22112180597070 23340635074685 24713613608490 28008762089622 42013143134433 46681270149370 70021905224055 84026286268866 140043810448110 210065715672165 420131431344330