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3340134132000 = 25353278344511
BaseRepresentation
bin110000100110101111100…
…000100010100100100000
3102211022110200122110012120
4300212233200202210200
5414211043314211000
611034234134224240
7463213431450561
oct60465740424440
912738420573176
103340134132000
1110785a7705406
1245b4101b5080
131b2c864454c3
14b7940360168
155bd405826a0
hex309af822920

3340134132000 has 96 divisors (see below), whose sum is σ = 10942279455744. Its totient is φ = 890702432000.

The previous prime is 3340134131993. The next prime is 3340134132019. The reversal of 3340134132000 is 2314310433.

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

It is a super-2 number, since 2×33401341320002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139160256 + ... + 139184255.

It is an arithmetic number, because the mean of its divisors is an integer number (113982077664).

Almost surely, 23340134132000 is an apocalyptic number.

3340134132000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340134132000 is an abundant number, since it is smaller than the sum of its proper divisors (7602145323744).

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

3340134132000 is a wasteful number, since it uses less digits than its factorization.

3340134132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278344539 (or 278344521 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3340134132000 its reverse (2314310433), we get a palindrome (3342448442433).

The spelling of 3340134132000 in words is "three trillion, three hundred forty billion, one hundred thirty-four million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 278344511 556689022 835033533 1113378044 1391722555 1670067066 2226756088 2783445110 3340134132 4175167665 4453512176 5566890220 6680268264 6958612775 8350335330 8907024352 11133780440 13360536528 13917225550 16700670660 20875838325 22267560880 26721073056 27834451100 33401341320 34793063875 41751676650 44535121760 55668902200 66802682640 69586127750 83503353300 104379191625 111337804400 133605365280 139172255500 167006706600 208758383250 222675608800 278344511000 334013413200 417516766500 556689022000 668026826400 835033533000 1113378044000 1670067066000 3340134132000