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431412102421440 = 2635764198229527
BaseRepresentation
bin110001000010111011111010…
…1000111011101101111000000
32002120111121001011210101020220
41202011313311013131233000
5423021223441204441230
64125311552301503040
7156604332033014250
oct14205676507355700
92076447034711226
10431412102421440
11115508932a21328
1240476680271a80
1315694ca9a0938a
14787665867d960
1534d20437b9d10
hex1885df51ddbc0

431412102421440 has 112 divisors (see below), whose sum is σ = 1565409628810752. Its totient is φ = 98608480551936.

The previous prime is 431412102421429. The next prime is 431412102421463. The reversal of 431412102421440 is 44124201214134.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4314121024214402 (a number of 30 digits) contains 22 as substring.

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, 32099108044 + ... + 32099121483.

Almost surely, 2431412102421440 is an apocalyptic number.

431412102421440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431412102421440 is an abundant number, since it is smaller than the sum of its proper divisors (1133997526389312).

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

431412102421440 is a wasteful number, since it uses less digits than its factorization.

431412102421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64198229554 (or 64198229544 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 431412102421440 its reverse (44124201214134), we get a palindrome (475536303635574).

The spelling of 431412102421440 in words is "four hundred thirty-one trillion, four hundred twelve billion, one hundred two million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 64198229527 128396459054 192594688581 256792918108 320991147635 385189377162 449387606689 513585836216 641982295270 770378754324 898775213378 962973442905 1027171672432 1283964590540 1348162820067 1540757508648 1797550426756 1925946885810 2054343344864 2246938033445 2567929181080 2696325640134 3081515017296 3595100853512 3851893771620 4108686689728 4493876066890 5135858362160 5392651280268 6163030034592 6740814100335 7190201707024 7703787543240 8987752133780 10271716724320 10785302560536 12326060069184 13481628200670 14380403414048 15407575086480 17975504267560 20543433448640 21570605121072 26963256401340 28760806828096 30815150172960 35951008535120 43141210242144 53926512802680 61630300345920 71902017070240 86282420484288 107853025605360 143804034140480 215706051210720 431412102421440