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140032133232420 = 2235111316320761449
BaseRepresentation
bin11111110101101111000101…
…100011101111011100100100
3200100210221102010120212201110
4133311233011203233130210
5121323241302101414140
61213453512433425020
741331662542202322
oct3765570543573444
9610727363525643
10140032133232420
1140689326641380
12138571ba10b170
136019c86a2a9b0
14268183cb92d12
15112c855544380
hex7f5bc58ef724

140032133232420 has 96 divisors (see below), whose sum is σ = 460637171164800. Its totient is φ = 31335861980160.

The previous prime is 140032133232361. The next prime is 140032133232487. The reversal of 140032133232420 is 24232331230041.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8160372145 + ... + 8160389304.

It is an arithmetic number, because the mean of its divisors is an integer number (4798303866300).

Almost surely, 2140032133232420 is an apocalyptic number.

140032133232420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140032133232420 is an abundant number, since it is smaller than the sum of its proper divisors (320605037932380).

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

140032133232420 is a wasteful number, since it uses less digits than its factorization.

140032133232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16320761485 (or 16320761483 counting only the distinct ones).

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

Adding to 140032133232420 its reverse (24232331230041), we get a palindrome (164264464462461).

The spelling of 140032133232420 in words is "one hundred forty trillion, thirty-two billion, one hundred thirty-three million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 16320761449 32641522898 48962284347 65283045796 81603807245 97924568694 163207614490 179528375939 195849137388 212169898837 244811421735 326415228980 359056751878 424339797674 489622843470 538585127817 636509696511 718113503756 848679595348 897641879695 979245686940 1060849494185 1077170255634 1273019393022 1795283759390 2121698988370 2154340511268 2333868887207 2546038786044 2692925639085 3182548482555 3590567518780 4243397976740 4667737774414 5385851278170 6365096965110 7001606661621 9335475548828 10771702556340 11669344436035 12730193930220 14003213323242 23338688872070 28006426646484 35008033308105 46677377744140 70016066616210 140032133232420