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40853212320 = 2535211403369
BaseRepresentation
bin100110000011000010…
…101000110010100000
310220110010112012202210
4212003002220302200
51132131410243240
630433454042120
72644244401164
oct460302506240
9126403465683
1040853212320
1116364634098
127b017a9340
133b10a76a1b
141d97a28ca4
1510e1870780
hex9830a8ca0

40853212320 has 96 divisors (see below), whose sum is σ = 129297833280. Its totient is φ = 10842531840.

The previous prime is 40853212313. The next prime is 40853212321. The reversal of 40853212320 is 2321235804.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (40853212321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100405 + ... + 302964.

It is an arithmetic number, because the mean of its divisors is an integer number (1346852430).

Almost surely, 240853212320 is an apocalyptic number.

40853212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40853212320 is an abundant number, since it is smaller than the sum of its proper divisors (88444620960).

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

40853212320 is a wasteful number, since it uses less digits than its factorization.

40853212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403598 (or 403590 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 40853212320 in words is "forty billion, eight hundred fifty-three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 211 240 422 480 633 844 1055 1266 1688 2110 2532 3165 3376 4220 5064 6330 6752 8440 10128 12660 16880 20256 25320 33760 50640 101280 403369 806738 1210107 1613476 2016845 2420214 3226952 4033690 4840428 6050535 6453904 8067380 9680856 12101070 12907808 16134760 19361712 24202140 32269520 38723424 48404280 64539040 85110859 96808560 170221718 193617120 255332577 340443436 425554295 510665154 680886872 851108590 1021330308 1276662885 1361773744 1702217180 2042660616 2553325770 2723547488 3404434360 4085321232 5106651540 6808868720 8170642464 10213303080 13617737440 20426606160 40853212320