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32014021240 = 2351725415119
BaseRepresentation
bin11101110100001011…
…110011001001111000
310001122010000210010101
4131310023303021320
51011031042134430
622412415325144
72212223455615
oct356413631170
9101563023111
1032014021240
1112639097aa3
1262555207b4
13303270b446
141799b1350c
15c7585adca
hex7742f3278

32014021240 has 96 divisors (see below), whose sum is σ = 76674355200. Its totient is φ = 12027709440.

The previous prime is 32014021201. The next prime is 32014021313. The reversal of 32014021240 is 4212041023.

It is a super-2 number, since 2×320140212402 (a number of 22 digits) contains 22 as substring.

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, 6251401 + ... + 6256519.

It is an arithmetic number, because the mean of its divisors is an integer number (798691200).

Almost surely, 232014021240 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 32014021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337177600).

32014021240 is an abundant number, since it is smaller than the sum of its proper divisors (44660333960).

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

32014021240 is a wasteful number, since it uses less digits than its factorization.

32014021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 32014021240 its reverse (4212041023), we get a palindrome (36226062263).

The spelling of 32014021240 in words is "thirty-two billion, fourteen million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 541 578 680 1082 1156 1445 2164 2312 2705 2890 4328 5119 5410 5780 9197 10238 10820 11560 18394 20476 21640 25595 36788 40952 45985 51190 73576 87023 91970 102380 156349 174046 183940 204760 312698 348092 367880 435115 625396 696184 781745 870230 1250792 1479391 1563490 1740460 2769379 2958782 3126980 3480920 5538758 5917564 6253960 7396955 11077516 11835128 13846895 14793910 22155032 27693790 29587820 47079443 55387580 59175640 94158886 110775160 188317772 235397215 376635544 470794430 800350531 941588860 1600701062 1883177720 3201402124 4001752655 6402804248 8003505310 16007010620 32014021240