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143431000400 = 24526714233761
BaseRepresentation
bin1000010110010100100…
…1110110000101010000
3111201012221201202111002
42011211021312011100
54322221314003100
6145520304041132
713235232246632
oct2054511660520
9451187652432
10143431000400
1155913073566
122396a9031a8
13106aa65024c
146d29188a52
153ae704e2d5
hex2165276150

143431000400 has 120 divisors (see below), whose sum is σ = 350074986624. Its totient is φ = 56461363200.

The previous prime is 143431000397. The next prime is 143431000417. The reversal of 143431000400 is 4000134341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 38134520 + ... + 38138280.

Almost surely, 2143431000400 is an apocalyptic number.

143431000400 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 143431000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175037493312).

143431000400 is an abundant number, since it is smaller than the sum of its proper divisors (206643986224).

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

143431000400 is a wasteful number, since it uses less digits than its factorization.

143431000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 143431000400 its reverse (4000134341), we get a palindrome (147431134741).

The spelling of 143431000400 in words is "one hundred forty-three billion, four hundred thirty-one million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 400 536 670 1072 1340 1423 1675 2680 2846 3350 3761 5360 5692 6700 7115 7522 11384 13400 14230 15044 18805 22768 26800 28460 30088 35575 37610 56920 60176 71150 75220 94025 95341 113840 142300 150440 188050 190682 251987 284600 300880 376100 381364 476705 503974 569200 752200 762728 953410 1007948 1259935 1504400 1525456 1906820 2015896 2383525 2519870 3813640 4031792 4767050 5039740 5351903 6299675 7627280 9534100 10079480 10703806 12599350 19068200 20158960 21407612 25198700 26759515 38136400 42815224 50397400 53519030 85630448 100794800 107038060 133797575 214076120 267595150 358577501 428152240 535190300 717155002 1070380600 1434310004 1792887505 2140761200 2868620008 3585775010 5737240016 7171550020 8964437525 14343100040 17928875050 28686200080 35857750100 71715500200 143431000400