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231420320040 = 233571321192337
BaseRepresentation
bin1101011110000110111…
…0011101100100101000
3211010100002011022200110
43113201232131210220
512242422100220130
6254151340334320
722501545156420
oct3274156354450
9733302138613
10231420320040
118a165812748
1238a262443a0
1318a90a28a20
14b2b500b480
156046b08ab0
hex35e1b9d928

231420320040 has 128 divisors (see below), whose sum is σ = 854475068160. Its totient is φ = 48827142144.

The previous prime is 231420320039. The next prime is 231420320069. The reversal of 231420320040 is 40023024132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 231420319989 and 231420320016.

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, 10585249 + ... + 10607088.

It is an arithmetic number, because the mean of its divisors is an integer number (6675586470).

Almost surely, 2231420320040 is an apocalyptic number.

231420320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231420320040 is an abundant number, since it is smaller than the sum of its proper divisors (623054748120).

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

231420320040 is a wasteful number, since it uses less digits than its factorization.

231420320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21192371 (or 21192367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 231420320040 its reverse (40023024132), we get a palindrome (271443344172).

The spelling of 231420320040 in words is "two hundred thirty-one billion, four hundred twenty million, three hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 21192337 42384674 63577011 84769348 105961685 127154022 148346359 169538696 211923370 254308044 275500381 296692718 317885055 423846740 445039077 508616088 551000762 593385436 635770110 741731795 826501143 847693480 890078154 1102001524 1186770872 1271540220 1377501905 1483463590 1653002286 1780156308 1928502667 2204003048 2225195385 2543080440 2755003810 2966927180 3306004572 3560312616 3857005334 4132505715 4450390770 5510007620 5785508001 5933854360 6612009144 7714010668 8265011430 8900781540 9642513335 11020015240 11571016002 15428021336 16530022860 17801563080 19285026670 23142032004 28927540005 33060045720 38570053340 46284064008 57855080010 77140106680 115710160020 231420320040