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131402304034320 = 243511137363310949
BaseRepresentation
bin11101111000001001111011…
…101001111001011000010000
3122020020221022111110011011010
4131320021323221321120100
5114210343404313044240
61143245215104050520
736451334406264654
oct3570117351713020
9566227274404133
10131402304034320
1138961449a81610
12128a2791903a40
135842251617577
142463c967a6a64
15102d11eb25280
hex77827ba79610

131402304034320 has 160 divisors (see below), whose sum is σ = 447622342300800. Its totient is φ = 31622584913920.

The previous prime is 131402304034301. The next prime is 131402304034327. The reversal of 131402304034320 is 23430403204131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131402304034327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181293795 + ... + 182017154.

It is an arithmetic number, because the mean of its divisors is an integer number (2797639639380).

Almost surely, 2131402304034320 is an apocalyptic number.

131402304034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402304034320 is an abundant number, since it is smaller than the sum of its proper divisors (316220038266480).

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

131402304034320 is a wasteful number, since it uses less digits than its factorization.

131402304034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363311113 (or 363311107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 131402304034320 its reverse (23430403204131), we get a palindrome (154832707238451).

The spelling of 131402304034320 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred four million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 137 165 176 220 240 264 274 330 411 440 528 548 660 685 822 880 1096 1320 1370 1507 1644 2055 2192 2640 2740 3014 3288 4110 4521 5480 6028 6576 7535 8220 9042 10960 12056 15070 16440 18084 22605 24112 30140 32880 36168 45210 60280 72336 90420 120560 180840 361680 363310949 726621898 1089932847 1453243796 1816554745 2179865694 2906487592 3633109490 3996420439 4359731388 5449664235 5812975184 7266218980 7992840878 8719462776 10899328470 11989261317 14532437960 15985681756 17438925552 19982102195 21798656940 23978522634 29064875920 31971363512 39964204390 43597313880 47957045268 49773600013 59946306585 63942727024 79928408780 87194627760 95914090536 99547200026 119892613170 149320800039 159856817560 191828181072 199094400052 239785226340 248868000065 298641600078 319713635120 398188800104 479570452680 497736000130 547509600143 597283200156 746604000195 796377600208 959140905360 995472000260 1095019200286 1194566400312 1493208000390 1642528800429 1990944000520 2190038400572 2389132800624 2737548000715 2986416000780 3285057600858 3981888001040 4380076801144 5475096001430 5972832001560 6570115201716 8212644002145 8760153602288 10950192002860 11945664003120 13140230403432 16425288004290 21900384005720 26280460806864 32850576008580 43800768011440 65701152017160 131402304034320