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131402341413304 = 23132379192858309
BaseRepresentation
bin11101111000001001111101…
…111000011111000110111000
3122020020221102002210012110221
4131320021331320133012320
5114210343443400211204
61143245222521145424
736451335342065413
oct3570117570370670
9566227362705427
10131402341413304
1138961469091a35
12128a27a232b274
1358422592a4100
142463c9b736b7a
15102d12305a654
hex77827de1f1b8

131402341413304 has 96 divisors (see below), whose sum is σ = 274298290812000. Its totient is φ = 58943890377216.

The previous prime is 131402341413281. The next prime is 131402341413307. The reversal of 131402341413304 is 403314143204131.

It is a self number, because there is not a number n which added to its sum of digits gives 131402341413304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402341413307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44542902 + ... + 47401210.

It is an arithmetic number, because the mean of its divisors is an integer number (2857273862625).

Almost surely, 2131402341413304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131402341413304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137149145406000).

131402341413304 is an abundant number, since it is smaller than the sum of its proper divisors (142895949398696).

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

131402341413304 is a wasteful number, since it uses less digits than its factorization.

131402341413304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859297 (or 2859280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 131402341413304 its reverse (403314143204131), we get a palindrome (534716484617435).

The spelling of 131402341413304 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred forty-one million, four hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 919 962 1352 1838 1924 3676 3848 6253 7352 11947 12506 23894 25012 34003 47788 50024 68006 95576 136012 155311 272024 310622 442039 621244 884078 1242488 1768156 2858309 3536312 5716618 5746507 11433236 11493014 22866472 22986028 37158017 45972056 74316034 105757433 148632068 211514866 297264136 423029732 483054221 846059464 966108442 1374846629 1932216884 2626785971 2749693258 3864433768 5253571942 5499386516 10507143884 10998773032 17873006177 21014287768 34148217623 35746012354 68296435246 71492024708 97191080927 136592870492 142984049416 194382161854 273185740984 388764323708 443926829099 777528647416 887853658198 1263484052051 1775707316396 2526968104102 3551414632792 5053936208204 10107872416408 16425292676663 32850585353326 65701170706652 131402341413304