Search a number
-
+
353141376230640 = 24355391532729137
BaseRepresentation
bin101000001001011100010001…
…0010010010010010011110000
31201022100222121200200202201110
41100102320202102102103300
5332241332014303340030
63251022524132233320
7134245423336461654
oct12022704222222360
91638328550622643
10353141376230640
11a2581464561918
12337351b846b840
131220812039541a
14632c1c324aa64
152ac603e6811b0
hex1412e224924f0

353141376230640 has 80 divisors (see below), whose sum is σ = 1094740697923488. Its totient is φ = 94170824491008.

The previous prime is 353141376230579. The next prime is 353141376230693. The reversal of 353141376230640 is 46032673141353.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 353141376230640.

It is a congruent number.

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, 128032152 + ... + 130761288.

Almost surely, 2353141376230640 is an apocalyptic number.

353141376230640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353141376230640 is an abundant number, since it is smaller than the sum of its proper divisors (741599321692848).

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

353141376230640 is a wasteful number, since it uses less digits than its factorization.

353141376230640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268306 (or 3268300 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 48.

The spelling of 353141376230640 in words is "three hundred fifty-three trillion, one hundred forty-one billion, three hundred seventy-six million, two hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 539153 1078306 1617459 2156612 2695765 2729137 3234918 4313224 5391530 5458274 6469836 8087295 8187411 8626448 10783060 10916548 12939672 13645685 16174590 16374822 21566120 21833096 25879344 27291370 32349180 32749644 40937055 43132240 43666192 54582740 64698360 65499288 81874110 109165480 129396720 130998576 163748220 218330960 327496440 654992880 1471422400961 2942844801922 4414267202883 5885689603844 7357112004805 8828534405766 11771379207688 14714224009610 17657068811532 22071336014415 23542758415376 29428448019220 35314137623064 44142672028830 58856896038440 70628275246128 88285344057660 117713792076880 176570688115320 353141376230640