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143312120400 = 24352373320179
BaseRepresentation
bin1000010101111000010…
…0010110101001010000
3111200220200001000210010
42011132010112221100
54322000400323100
6145500420034520
713232256632001
oct2053604265120
9450820030703
10143312120400
1155861a57229
1223936b32a40
131068bb29057
146d174811a8
153adb8ba750
hex215e116a50

143312120400 has 120 divisors (see below), whose sum is σ = 460308698080. Its totient is φ = 38113989120.

The previous prime is 143312120333. The next prime is 143312120407. The reversal of 143312120400 is 4021213341.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143312120407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287511 + ... + 607689.

Almost surely, 2143312120400 is an apocalyptic number.

143312120400 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 143312120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230154349040).

143312120400 is an abundant number, since it is smaller than the sum of its proper divisors (316996577680).

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

143312120400 is a wasteful number, since it uses less digits than its factorization.

143312120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320573 (or 320562 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 143312120400 its reverse (4021213341), we get a palindrome (147333333741).

The spelling of 143312120400 in words is "one hundred forty-three billion, three hundred twelve million, one hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 373 400 600 746 1119 1200 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 9325 11190 14920 17904 18650 22380 27975 29840 37300 44760 55950 74600 89520 111900 149200 223800 320179 447600 640358 960537 1280716 1600895 1921074 2561432 3201790 3842148 4802685 5122864 6403580 7684296 8004475 9605370 12807160 15368592 16008950 19210740 24013425 25614320 32017900 38421480 48026850 64035800 76842960 96053700 119426767 128071600 192107400 238853534 358280301 384214800 477707068 597133835 716560602 955414136 1194267670 1433121204 1791401505 1910828272 2388535340 2866242408 2985669175 3582803010 4777070680 5732484816 5971338350 7165606020 8957007525 9554141360 11942676700 14331212040 17914015050 23885353400 28662424080 35828030100 47770706800 71656060200 143312120400