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31152014240 = 25510712371471
BaseRepresentation
bin11101000000110011…
…100000001110100000
32222102001000021211012
4131000303200032200
51002244403423430
622151103440052
72151655515644
oct350063401640
988361007735
1031152014240
1112236555416
1260548b6028
132c25c57c29
141717446c24
15c24d36695
hex740ce03a0

31152014240 has 96 divisors (see below), whose sum is σ = 74395044864. Its totient is φ = 12325985280.

The previous prime is 31152014239. The next prime is 31152014263. The reversal of 31152014240 is 4241025113.

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 15 ways as a sum of consecutive naturals, for example, 21176705 + ... + 21178175.

It is an arithmetic number, because the mean of its divisors is an integer number (774948384).

Almost surely, 231152014240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31152014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37197522432).

31152014240 is an abundant number, since it is smaller than the sum of its proper divisors (43243030624).

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

31152014240 is a wasteful number, since it uses less digits than its factorization.

31152014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 31152014240 its reverse (4241025113), we get a palindrome (35393039353).

The spelling of 31152014240 in words is "thirty-one billion, one hundred fifty-two million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1237 1471 1712 2140 2474 2942 3424 4280 4948 5884 6185 7355 8560 9896 11768 12370 14710 17120 19792 23536 24740 29420 39584 47072 49480 58840 98960 117680 132359 157397 197920 235360 264718 314794 529436 629588 661795 786985 1058872 1259176 1323590 1573970 1819627 2117744 2518352 2647180 3147940 3639254 4235488 5036704 5294360 6295880 7278508 9098135 10588720 12591760 14557016 18196270 21177440 25183520 29114032 36392540 58228064 72785080 145570160 194700089 291140320 389400178 778800356 973500445 1557600712 1947000890 3115201424 3894001780 6230402848 7788003560 15576007120 31152014240