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4076142720 = 273513163307
BaseRepresentation
bin1111001011110101…
…0000000010000000
3101112001222111121220
43302331100002000
531321443031340
61512245515040
7203003433006
oct36275200200
911461874556
104076142720
1118019703a1
12959112a80
134cc631190
142a94d4a76
1518ccb5ed0
hexf2f50080

4076142720 has 128 divisors (see below), whose sum is σ = 13992229440. Its totient is φ = 1003352064.

The previous prime is 4076142691. The next prime is 4076142737. The reversal of 4076142720 is 272416704.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40761427202 = 33229878947617996800, which contains 22 as substring.

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, 56694 + ... + 106613.

Almost surely, 24076142720 is an apocalyptic number.

4076142720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4076142720 is an abundant number, since it is smaller than the sum of its proper divisors (9916086720).

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

4076142720 is a wasteful number, since it uses less digits than its factorization.

4076142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163342 (or 163330 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 4076142720 is about 63844.6765204430. The cubic root of 4076142720 is about 1597.4102271010.

The spelling of 4076142720 in words is "four billion, seventy-six million, one hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 163307 326614 489921 653228 816535 979842 1306456 1633070 1959684 2122991 2449605 2612912 3266140 3919368 4245982 4899210 5225824 6368973 6532280 7838736 8491964 9798420 10451648 10614955 12737946 13064560 15677472 16983928 19596840 20903296 21229910 25475892 26129120 31354944 31844865 33967856 39193680 42459820 50951784 52258240 62709888 63689730 67935712 78387360 84919640 101903568 104516480 127379460 135871424 156774720 169839280 203807136 254758920 271742848 313549440 339678560 407614272 509517840 679357120 815228544 1019035680 1358714240 2038071360 4076142720