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134412301320 = 233511175989853
BaseRepresentation
bin111110100101110011…
…0001111010000001000
3110211221102110101011020
41331023212033100020
54200234022120240
6141425334032440
712465601465413
oct1751346172010
9424842411136
10134412301320
1152005270450
12220724a8720
13c8a1053a0b
1467114a6b7a
15376a3cc0d0
hex1f4b98f408

134412301320 has 128 divisors (see below), whose sum is σ = 465771047040. Its totient is φ = 30668042240.

The previous prime is 134412301319. The next prime is 134412301327. The reversal of 134412301320 is 23103214431.

It is a happy number.

It is a super-2 number, since 2×1344123013202 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134412301327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2972487 + ... + 3017366.

It is an arithmetic number, because the mean of its divisors is an integer number (3638836305).

Almost surely, 2134412301320 is an apocalyptic number.

134412301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134412301320 is an abundant number, since it is smaller than the sum of its proper divisors (331358745720).

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

134412301320 is a wasteful number, since it uses less digits than its factorization.

134412301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989895 (or 5989891 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 134412301320 its reverse (23103214431), we get a palindrome (157515515751).

The spelling of 134412301320 in words is "one hundred thirty-four billion, four hundred twelve million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 5989853 11979706 17969559 23959412 29949265 35939118 47918824 59898530 65888383 71878236 89847795 101827501 119797060 131776766 143756472 179695590 197665149 203655002 239594120 263553532 305482503 329441915 359391180 395330298 407310004 509137505 527107064 610965006 658883830 718782360 790660596 814620008 988325745 1018275010 1120102511 1221930012 1317767660 1527412515 1581321192 1976651490 2036550020 2240205022 2443860024 2635535320 3054825030 3360307533 3953302980 4073100040 4480410044 5600512555 6109650060 6720615066 7906605960 8960820088 11201025110 12219300120 13441230132 16801537665 22402050220 26882460264 33603075330 44804100440 67206150660 134412301320