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143429811200 = 2105213430979
BaseRepresentation
bin1000010110010100010…
…1010011110000000000
3111201012212111100012122
42011211011103300000
54322221012424300
6145520222343412
713235216164604
oct2054505236000
9451185440178
10143429811200
1155912431055
122396a42ab68
13106aa324b90
146d28d59504
153ae6db6c85
hex2165153c00

143429811200 has 132 divisors (see below), whose sum is σ = 382881770040. Its totient is φ = 52958576640.

The previous prime is 143429811199. The next prime is 143429811229. The reversal of 143429811200 is 2118924341.

It is a super-2 number, since 2×1434298112002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117311 + ... + 548289.

It is an arithmetic number, because the mean of its divisors is an integer number (2900619470).

Almost surely, 2143429811200 is an apocalyptic number.

143429811200 is a gapful number since it is divisible by the number (10) 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 143429811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191440885020).

143429811200 is an abundant number, since it is smaller than the sum of its proper divisors (239451958840).

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

143429811200 is a wasteful number, since it uses less digits than its factorization.

143429811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431022 (or 430999 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 143429811200 in words is "one hundred forty-three billion, four hundred twenty-nine million, eight hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1024 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5120 5200 6400 6656 8320 10400 12800 13312 16640 20800 25600 33280 41600 66560 83200 166400 332800 430979 861958 1723916 2154895 3447832 4309790 5602727 6895664 8619580 10774475 11205454 13791328 17239160 21548950 22410908 27582656 28013635 34478320 43097900 44821816 55165312 56027270 68956640 86195800 89643632 110330624 112054540 137913280 140068175 172391600 179287264 220661248 224109080 275826560 280136350 344783200 358574528 441322496 448218160 551653120 560272700 689566400 717149056 896436320 1103306240 1120545400 1379132800 1434298112 1792872640 2206612480 2241090800 2758265600 2868596224 3585745280 4482181600 5516531200 5737192448 7171490560 8964363200 11033062400 14342981120 17928726400 28685962240 35857452800 71714905600 143429811200