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131404041430320 = 24354388714355073
BaseRepresentation
bin11101111000001011100011…
…001101100010010100110000
3122020021002210120200000102010
4131320023203031202110300
5114210410434101232240
61143250103330322520
736451425434021301
oct3570134315422460
9566232716600363
10131404041430320
113896216076697a
12128a2b97729440
13584246a558339
142463dbd4247a8
15102d1c2414280
hex7782e3362530

131404041430320 has 160 divisors (see below), whose sum is σ = 417295799788032. Its totient is φ = 34187580112896.

The previous prime is 131404041430297. The next prime is 131404041430411. The reversal of 131404041430320 is 23034140404131.

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

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, 1976304 + ... + 16331376.

Almost surely, 2131404041430320 is an apocalyptic number.

131404041430320 is a gapful number since it is divisible by the number (10) 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 131404041430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208647899894016).

131404041430320 is an abundant number, since it is smaller than the sum of its proper divisors (285891758357712).

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

131404041430320 is a wasteful number, since it uses less digits than its factorization.

131404041430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14356019 (or 14356013 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131404041430320 its reverse (23034140404131), we get a palindrome (154438181834451).

The spelling of 131404041430320 in words is "one hundred thirty-one trillion, four hundred four billion, forty-one million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 887 1032 1290 1720 1774 2064 2580 2661 3440 3548 4435 5160 5322 7096 8870 10320 10644 13305 14192 17740 21288 26610 35480 38141 42576 53220 70960 76282 106440 114423 152564 190705 212880 228846 305128 381410 457692 572115 610256 762820 915384 1144230 1525640 1830768 2288460 3051280 4576920 9153840 14355073 28710146 43065219 57420292 71775365 86130438 114840584 143550730 172260876 215326095 229681168 287101460 344521752 430652190 574202920 617268139 689043504 861304380 1148405840 1234536278 1722608760 1851804417 2469072556 3086340695 3445217520 3703608834 4938145112 6172681390 7407217668 9259022085 9876290224 12345362780 12732949751 14814435336 18518044170 24690725560 25465899502 29628870672 37036088340 38198849253 49381451120 50931799004 63664748755 74072176680 76397698506 101863598008 127329497510 148144353360 152795397012 190994246265 203727196016 254658995020 305590794024 381988492530 509317990040 547516839293 611181588048 763976985060 1018635980080 1095033678586 1527953970120 1642550517879 2190067357172 2737584196465 3055907940240 3285101035758 4380134714344 5475168392930 6570202071516 8212752589395 8760269428688 10950336785860 13140404143032 16425505178790 21900673571720 26280808286064 32851010357580 43801347143440 65702020715160 131404041430320