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32313152040 = 233513118117539
BaseRepresentation
bin11110000110000000…
…111001001000101000
310002101221220012102220
4132012000321020220
51012134131331130
622502222554040
72222515155231
oct360600711050
9102357805386
1032313152040
1112781a28434
126319738920
13307c693710
1417c773c088
15c91c47410
hex786039228

32313152040 has 128 divisors (see below), whose sum is σ = 104490691200. Its totient is φ = 7946818560.

The previous prime is 32313151987. The next prime is 32313152129. The reversal of 32313152040 is 4025131323.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32313152040.

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 31 ways as a sum of consecutive naturals, for example, 1833591 + ... + 1851129.

It is an arithmetic number, because the mean of its divisors is an integer number (816333525).

Almost surely, 232313152040 is an apocalyptic number.

32313152040 is a gapful number since it is divisible by the number (30) 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 32313152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52245345600).

32313152040 is an abundant number, since it is smaller than the sum of its proper divisors (72177539160).

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

32313152040 is a wasteful number, since it uses less digits than its factorization.

32313152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18747 (or 18743 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 32313152040 its reverse (4025131323), we get a palindrome (36338283363).

The spelling of 32313152040 in words is "thirty-two billion, three hundred thirteen million, one hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1181 1560 2362 3543 4724 5905 7086 9448 11810 14172 15353 17539 17715 23620 28344 30706 35078 35430 46059 47240 52617 61412 70156 70860 76765 87695 92118 105234 122824 140312 141720 153530 175390 184236 210468 228007 230295 263085 307060 350780 368472 420936 456014 460590 526170 614120 684021 701560 912028 921180 1052340 1140035 1368042 1824056 1842360 2104680 2280070 2736084 3420105 4560140 5472168 6840210 9120280 13680420 20713559 27360840 41427118 62140677 82854236 103567795 124281354 165708472 207135590 248562708 269276267 310703385 414271180 497125416 538552534 621406770 807828801 828542360 1077105068 1242813540 1346381335 1615657602 2154210136 2485627080 2692762670 3231315204 4039144005 5385525340 6462630408 8078288010 10771050680 16156576020 32313152040