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10030342432 = 2511237531321
BaseRepresentation
bin10010101011101101…
…01110000100100000
3221220000212012010011
421111312232010200
5131020231424212
64335145014304
7503363334565
oct112566560440
927800765104
1010030342432
114287959800
121b3b184394
13c3b082286
146b21c086c
153da8a34a7
hex255dae120

10030342432 has 144 divisors (see below), whose sum is σ = 22730081976. Its totient is φ = 4349030400.

The previous prime is 10030342373. The next prime is 10030342451. The reversal of 10030342432 is 23424303001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9618901776 + 411440656 = 98076^2 + 20284^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7592332 + ... + 7593652.

Almost surely, 210030342432 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 10030342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365040988).

10030342432 is an abundant number, since it is smaller than the sum of its proper divisors (12699739544).

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

10030342432 is a wasteful number, since it uses less digits than its factorization.

10030342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10030342432 its reverse (23424303001), we get a palindrome (33454645433).

The spelling of 10030342432 in words is "ten billion, thirty million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 53 74 88 106 121 148 176 212 242 296 352 407 424 484 583 592 814 848 968 1166 1184 1321 1628 1696 1936 1961 2332 2642 3256 3872 3922 4477 4664 5284 6413 6512 7844 8954 9328 10568 12826 13024 14531 15688 17908 18656 21136 21571 25652 29062 31376 35816 42272 43142 48877 51304 58124 62752 70013 71632 86284 97754 102608 116248 140026 143264 159841 172568 195508 205216 232496 237281 280052 319682 345136 391016 464992 474562 537647 560104 639364 690272 770143 782032 949124 1075294 1120208 1278728 1540286 1564064 1898248 2150588 2240416 2557456 2590481 3080572 3796496 4301176 5114912 5180962 5914117 6161144 7592992 8471573 8602352 10361924 11828234 12322288 16943146 17204704 20723848 23656468 24644576 28495291 33886292 41447696 47312936 56990582 67772584 82895392 94625872 113981164 135545168 189251744 227962328 271090336 313448201 455924656 626896402 911849312 1253792804 2507585608 5015171216 10030342432