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143561535056 = 24232373731229
BaseRepresentation
bin1000010110110011101…
…1110010111001010000
3111201120001100121100222
42011230323302321100
54323003223110211
6145541245532212
713241405625302
oct2055473627120
9451501317328
10143561535056
115597a820145
12239a6574068
13106cb6c51a4
146d3c647972
153b037361db
hex216cef2e50

143561535056 has 120 divisors (see below), whose sum is σ = 299672668680. Its totient is φ = 66570882048.

The previous prime is 143561535049. The next prime is 143561535101. The reversal of 143561535056 is 650535165341.

It is a happy number.

143561535056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98709072400 + 44852462656 = 314180^2 + 211784^2 .

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 143561534998 and 143561535016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116811050 + ... + 116812278.

It is an arithmetic number, because the mean of its divisors is an integer number (2497272239).

Almost surely, 2143561535056 is an apocalyptic number.

143561535056 is a gapful number since it is divisible by the number (16) 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 143561535056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149836334340).

143561535056 is an abundant number, since it is smaller than the sum of its proper divisors (156111133624).

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

143561535056 is a wasteful number, since it uses less digits than its factorization.

143561535056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 143561535056 in words is "one hundred forty-three billion, five hundred sixty-one million, five hundred thirty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 296 368 373 529 592 746 851 1058 1229 1492 1702 2116 2458 2984 3404 4232 4916 5968 6808 8464 8579 9832 13616 13801 17158 19573 19664 27602 28267 34316 39146 45473 55204 56534 68632 78292 90946 110408 113068 137264 156584 181892 197317 220816 226136 313168 317423 363784 394634 452272 458417 634846 650141 727568 789268 916834 1045879 1269692 1300282 1578536 1833668 2091758 2539384 2600564 3157072 3667336 4183516 5078768 5201128 7300729 7334672 8367032 10402256 10543591 14601458 16734064 16961429 21087182 24055217 29202916 33922858 42174364 48110434 58405832 67845716 84348728 96220868 116811664 135691432 168697456 192441736 242502593 271382864 384883472 390112867 485005186 780225734 970010372 1560451468 1940020744 3120902936 3880041488 6241805872 8972595941 17945191882 35890383764 71780767528 143561535056