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143813678440 = 23529128996181
BaseRepresentation
bin1000010111101111110…
…1101001010101101000
3111202012121210211001211
42011323331221111220
54324012300202230
6150022254122504
713250560045225
oct2057375512550
9452177724054
10143813678440
1155a9a088203
1223a56ab0434
131073ba08363
146d63d2094c
153b1a94042a
hex217bf69568

143813678440 has 64 divisors (see below), whose sum is σ = 335001906000. Its totient is φ = 55498168320.

The previous prime is 143813678419. The next prime is 143813678441. The reversal of 143813678440 is 44876318341.

It can be written as a sum of positive squares in 8 ways, for example, as 130221383044 + 13592295396 = 360862^2 + 116586^2 .

It is not an unprimeable number, because it can be changed into a prime (143813678441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447150 + ... + 1543330.

Almost surely, 2143813678440 is an apocalyptic number.

143813678440 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 143813678440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167500953000).

143813678440 is an abundant number, since it is smaller than the sum of its proper divisors (191188227560).

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

143813678440 is a wasteful number, since it uses less digits than its factorization.

143813678440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97510 (or 97506 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 143813678440 in words is "one hundred forty-three billion, eight hundred thirteen million, six hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1289 2578 5156 6445 10312 12890 25780 37381 51560 74762 96181 149524 186905 192362 299048 373810 384724 480905 747620 769448 961810 1495240 1923620 2789249 3847240 5578498 11156996 13946245 22313992 27892490 55784980 111569960 123977309 247954618 495909236 619886545 991818472 1239773090 2479546180 3595341961 4959092360 7190683922 14381367844 17976709805 28762735688 35953419610 71906839220 143813678440