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143104200042432 = 26314946310803983
BaseRepresentation
bin100000100010011100001011…
…000000100110011111000000
3200202200121221202021102101010
4200202130023000212133000
5122224104400202324212
61224205054551040520
742066636324220266
oct4042341300463700
9622617852242333
10143104200042432
1141663172229072
1214072677070140
1361b088bc42135
14274a3ccd8c436
151182706a5703c
hex82270b0267c0

143104200042432 has 112 divisors (see below), whose sum is σ = 381994301491200. Its totient is φ = 47278916686848.

The previous prime is 143104200042413. The next prime is 143104200042457. The reversal of 143104200042432 is 234240002401341.

It is a self number, because there is not a number n which added to its sum of digits gives 143104200042432.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7843513 + ... + 18647495.

Almost surely, 2143104200042432 is an apocalyptic number.

143104200042432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143104200042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190997150745600).

143104200042432 is an abundant number, since it is smaller than the sum of its proper divisors (238890101448768).

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

143104200042432 is a wasteful number, since it uses less digits than its factorization.

143104200042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804610 (or 10804600 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 143104200042432 its reverse (234240002401341), we get a palindrome (377344202443773).

The spelling of 143104200042432 in words is "one hundred forty-three trillion, one hundred four billion, two hundred million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 298 447 463 596 894 926 1192 1389 1788 1852 2384 2778 3576 3704 4768 5556 7152 7408 9536 11112 14304 14816 22224 28608 29632 44448 68987 88896 137974 206961 275948 413922 551896 827844 1103792 1655688 2207584 3311376 4415168 6622752 10803983 13245504 21607966 32411949 43215932 64823898 86431864 129647796 172863728 259295592 345727456 518591184 691454912 1037182368 1609793467 2074364736 3219586934 4829380401 5002244129 6439173868 9658760802 10004488258 12878347736 15006732387 19317521604 20008976516 25756695472 30013464774 38635043208 40017953032 51513390944 60026929548 77270086416 80035906064 103026781888 120053859096 154540172832 160071812128 240107718192 309080345664 320143624256 480215436384 745334375221 960430872768 1490668750442 2236003125663 2981337500884 4472006251326 5962675001768 8944012502652 11925350003536 17888025005304 23850700007072 35776050010608 47701400014144 71552100021216 143104200042432