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131402616049392 = 24359983351713421
BaseRepresentation
bin11101111000001010001110…
…010000001000111011110000
3122020020222010020120011100220
4131320022032100020323300
5114210400024202040032
61143245310051413040
736451345215335622
oct3570121620107360
9566228106504326
10131402616049392
113896159a112106
12128a285a2b4180
1358422a116117c
142463cc5dc6c12
15102d13c20912c
hex77828e408ef0

131402616049392 has 160 divisors (see below), whose sum is σ = 345685452572160. Its totient is φ = 42999246597120.

The previous prime is 131402616049339. The next prime is 131402616049403. The reversal of 131402616049392 is 293940616204131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9790814842 + ... + 9790828262.

It is an arithmetic number, because the mean of its divisors is an integer number (2160534078576).

Almost surely, 2131402616049392 is an apocalyptic number.

131402616049392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131402616049392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172842726286080).

131402616049392 is an abundant number, since it is smaller than the sum of its proper divisors (214282836522768).

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

131402616049392 is a wasteful number, since it uses less digits than its factorization.

131402616049392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 131402616049392 in words is "one hundred thirty-one trillion, four hundred two billion, six hundred sixteen million, forty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 983 1416 1966 2832 2949 3517 3932 5898 7034 7864 10551 11796 13421 14068 15728 21102 23592 26842 28136 40263 42204 47184 53684 56272 57997 80526 84408 107368 115994 161052 168816 173991 207503 214736 231988 322104 347982 415006 463976 622509 644208 695964 791839 830012 927952 1245018 1391928 1583678 1660024 2375517 2490036 2783856 3167356 3320048 3457211 4751034 4980072 6334712 6914422 9502068 9960144 10371633 12669424 13192843 13828844 19004136 20743266 26385686 27657688 38008272 39578529 41486532 47201657 52771372 55315376 79157058 82973064 94403314 105542744 141604971 158314116 165946128 188806628 203975449 211085488 283209942 316628232 377613256 407950898 566419884 611926347 633256464 755226512 778377737 815901796 1132839768 1223852694 1556755474 1631803592 2265679536 2335133211 2447705388 2784897763 3113510948 3263607184 4670266422 4895410776 5569795526 6227021896 8354693289 9340532844 9790821552 11139591052 12454043792 16709386578 18681065688 22279182104 33418773156 37362131376 44558364208 46399228831 66837546312 92798457662 133675092624 139197686493 185596915324 278395372986 371193830648 556790745972 742387661296 1113581491944 2227162983888 2737554501029 5475109002058 8212663503087 10950218004116 16425327006174 21900436008232 32850654012348 43800872016464 65701308024696 131402616049392