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134002214341040 = 24529194172974691
BaseRepresentation
bin11110011101111111010010…
…011000101000100110110000
3122120110111010201101011120002
4132131333102120220212300
5120030443013332403130
61152555433433005132
740140224535253433
oct3635772230504660
9576414121334502
10134002214341040
1139774024624011
121304263a5537a8
1359a047c063996
142513a5562d81a
151075a89b54b45
hex79dfd26289b0

134002214341040 has 80 divisors (see below), whose sum is σ = 322315136448480. Its totient is φ = 51749896611840.

The previous prime is 134002214340977. The next prime is 134002214341063. The reversal of 134002214341040 is 40143412200431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 134002214340994 and 134002214341012.

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, 43560095 + ... + 46534785.

It is an arithmetic number, because the mean of its divisors is an integer number (4028939205606).

Almost surely, 2134002214341040 is an apocalyptic number.

134002214341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134002214341040 is an abundant number, since it is smaller than the sum of its proper divisors (188312922107440).

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

134002214341040 is a wasteful number, since it uses less digits than its factorization.

134002214341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994150 (or 2994144 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 134002214341040 its reverse (40143412200431), we get a palindrome (174145626541471).

The spelling of 134002214341040 in words is "one hundred thirty-four trillion, two billion, two hundred fourteen million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 19417 38834 77668 97085 155336 194170 310672 388340 563093 776680 1126186 1553360 2252372 2815465 2974691 4504744 5630930 5949382 9009488 11261860 11898764 14873455 22523720 23797528 29746910 45047440 47595056 59493820 86266039 118987640 172532078 237975280 345064156 431330195 690128312 862660390 1380256624 1725320780 3450641560 6901283120 57759575147 115519150294 231038300588 288797875735 462076601176 577595751470 924153202352 1155191502940 1675027679263 2310383005880 3350055358526 4620766011760 6700110717052 8375138396315 13400221434104 16750276792630 26800442868208 33500553585260 67001107170520 134002214341040