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14402312131140 = 2233537720836443
BaseRepresentation
bin1101000110010100110010…
…1100101101001001000100
31212222211212220011202102000
43101211030230231021010
53341431413401144030
650344155244145300
73014350502136513
oct321451454551104
955884786152360
1014402312131140
114652a9380436a
121747321238230
138061945c400b
1437b10b73a67a
1519e9857b2860
hexd194cb2d244

14402312131140 has 96 divisors (see below), whose sum is σ = 46018198584960. Its totient is φ = 3736816115328.

The previous prime is 14402312131139. The next prime is 14402312131213. The reversal of 14402312131140 is 4113121320441.

It is a happy number.

14402312131140 is a `hidden beast` number, since 1 + 4 + 402 + 3 + 1 + 213 + 1 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360398242 + ... + 360438201.

It is an arithmetic number, because the mean of its divisors is an integer number (479356235260).

Almost surely, 214402312131140 is an apocalyptic number.

14402312131140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14402312131140 is an abundant number, since it is smaller than the sum of its proper divisors (31615886453820).

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

14402312131140 is a wasteful number, since it uses less digits than its factorization.

14402312131140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720836498 (or 720836490 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14402312131140 its reverse (4113121320441), we get a palindrome (18515433451581).

The spelling of 14402312131140 in words is "fourteen trillion, four hundred two billion, three hundred twelve million, one hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 720836443 1441672886 2162509329 2883345772 3604182215 4325018658 6487527987 7208364430 8650037316 10812546645 12975055974 14416728860 19462583961 21625093290 25950111948 26670948391 32437639935 38925167922 43250186580 53341896782 64875279870 77850335844 80012845173 97312919805 106683793564 129750559740 133354741955 160025690346 194625839610 240038535519 266709483910 320051380692 389251679220 400064225865 480077071038 533418967820 720115606557 800128451730 960154142076 1200192677595 1440231213114 1600256903460 2400385355190 2880462426228 3600578032785 4800770710380 7201156065570 14402312131140