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142013201440 = 25511131615949
BaseRepresentation
bin1000010001000010100…
…1010111110000100000
3111120120010220002221111
42010100221113300200
54311320334421230
6145123455433104
713155135203155
oct2042051276040
9446503802844
10142013201440
1155255828190
1223633b25794
13105129ac156
146c32b6222c
153a6284092a
hex2110a57c20

142013201440 has 96 divisors (see below), whose sum is σ = 368801294400. Its totient is φ = 51246873600.

The previous prime is 142013201423. The next prime is 142013201453. The reversal of 142013201440 is 44102310241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77415 + ... + 538534.

It is an arithmetic number, because the mean of its divisors is an integer number (3841680150).

Almost surely, 2142013201440 is an apocalyptic number.

142013201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142013201440 is an abundant number, since it is smaller than the sum of its proper divisors (226788092960).

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

142013201440 is a wasteful number, since it uses less digits than its factorization.

142013201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616106 (or 616098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 142013201440 its reverse (44102310241), we get a palindrome (186115511681).

The spelling of 142013201440 in words is "one hundred forty-two billion, thirteen million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 131 160 176 220 262 352 440 524 655 880 1048 1310 1441 1760 2096 2620 2882 4192 5240 5764 7205 10480 11528 14410 20960 23056 28820 46112 57640 115280 230560 615949 1231898 2463796 3079745 4927592 6159490 6775439 9855184 12318980 13550878 19710368 24637960 27101756 33877195 49275920 54203512 67754390 80689319 98551840 108407024 135508780 161378638 216814048 271017560 322757276 403446595 542035120 645514552 806893190 887582509 1084070240 1291029104 1613786380 1775165018 2582058208 3227572760 3550330036 4437912545 6455145520 7100660072 8875825090 12910291040 14201320144 17751650180 28402640288 35503300360 71006600720 142013201440