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134304031165120 = 26517223110709601
BaseRepresentation
bin11110100010011000011000…
…000100011100101011000000
3122121112100011211222102101221
4132202120120010130223000
5120100414123434240440
61153350230431004424
740201101044034235
oct3642303004345300
9577470154872357
10134304031165120
1139880024326113
1213091030369714
1359c2a7b3c330b
1425244c7b8778c
15107d851a91d4a
hex7a261811cac0

134304031165120 has 112 divisors (see below), whose sum is σ = 340142409831168. Its totient is φ = 50334783897600.

The previous prime is 134304031165111. The next prime is 134304031165121. The reversal of 134304031165120 is 21561130403431.

It is a super-2 number, since 2×1343040311651202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (134304031165121) 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, 54141681 + ... + 56567920.

It is an arithmetic number, because the mean of its divisors is an integer number (3036985802064).

Almost surely, 2134304031165120 is an apocalyptic number.

134304031165120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134304031165120 is an abundant number, since it is smaller than the sum of its proper divisors (205838378666048).

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

134304031165120 is a wasteful number, since it uses less digits than its factorization.

134304031165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110709858 (or 110709848 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 134304031165120 its reverse (21561130403431), we get a palindrome (155865161568551).

The spelling of 134304031165120 in words is "one hundred thirty-four trillion, three hundred four billion, thirty-one million, one hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 223 272 320 340 446 544 680 892 1088 1115 1360 1784 2230 2720 3568 3791 4460 5440 7136 7582 8920 14272 15164 17840 18955 30328 35680 37910 60656 71360 75820 121312 151640 242624 303280 606560 1213120 110709601 221419202 442838404 553548005 885676808 1107096010 1771353616 1882063217 2214192020 3542707232 3764126434 4428384040 7085414464 7528252868 8856768080 9410316085 15056505736 17713536160 18820632170 24688241023 30113011472 35427072320 37641264340 49376482046 60226022944 75282528680 98752964092 120452045888 123441205115 150565057360 197505928184 246882410230 301130114720 395011856368 419700097391 493764820460 602260229440 790023712736 839400194782 987529640920 1580047425472 1678800389564 1975059281840 2098500486955 3357600779128 3950118563680 4197000973910 6715201558256 7900237127360 8394001947820 13430403116512 16788003895640 26860806233024 33576007791280 67152015582560 134304031165120