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32013340040 = 235114310491613
BaseRepresentation
bin11101110100001001…
…001100110110001000
310001122001202011200202
4131310021030312020
51011030403340130
622412352551332
72212214620613
oct356411146610
9101561664622
1032013340040
1112638772220
126255252548
133032530376
1417999b717a
15c75774145
hex77424cd88

32013340040 has 128 divisors (see below), whose sum is σ = 80532144000. Its totient is φ = 11352606720.

The previous prime is 32013339979. The next prime is 32013340097. The reversal of 32013340040 is 4004331023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32013339994 and 32013340021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19846274 + ... + 19847886.

It is an arithmetic number, because the mean of its divisors is an integer number (629157375).

Almost surely, 232013340040 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 32013340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40266072000).

32013340040 is an abundant number, since it is smaller than the sum of its proper divisors (48518803960).

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

32013340040 is a wasteful number, since it uses less digits than its factorization.

32013340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 32013340040 its reverse (4004331023), we get a palindrome (36017671063).

The spelling of 32013340040 in words is "thirty-two billion, thirteen million, three hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1049 1613 1720 1892 2098 2365 3226 3784 4196 4730 5245 6452 8065 8392 9460 10490 11539 12904 16130 17743 18920 20980 23078 32260 35486 41960 45107 46156 57695 64520 69359 70972 88715 90214 92312 115390 138718 141944 177430 180428 225535 230780 277436 346795 354860 360856 451070 461560 496177 554872 693590 709720 762949 902140 992354 1387180 1525898 1692037 1804280 1984708 2480885 2774360 3051796 3384074 3814745 3969416 4961770 6103592 6768148 7629490 8460185 9923540 13536296 15258980 16920370 18612407 19847080 30517960 33840740 37224814 67681480 72757591 74449628 93062035 145515182 148899256 186124070 291030364 363787955 372248140 582060728 727575910 744496280 800333501 1455151820 1600667002 2910303640 3201334004 4001667505 6402668008 8003335010 16006670020 32013340040