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142240217560 = 23571926736883
BaseRepresentation
bin1000010001111000101…
…1010111100111011000
3111121010222001201111221
42010132023113213120
54312301443430220
6145202205301424
713163562620560
oct2043613274730
9447128051457
10142240217560
1155361992811
1223697b64874
131054aa3520c
146c54d77da0
153a777349aa
hex211e2d79d8

142240217560 has 64 divisors (see below), whose sum is σ = 385011129600. Its totient is φ = 46201332096.

The previous prime is 142240217549. The next prime is 142240217599. The reversal of 142240217560 is 65712042241.

142240217560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1422402175602 (a number of 23 digits) contains 22 as substring.

142240217560 is a modest number, since divided by 217560 gives 142240 as remainder.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13363122 + ... + 13373761.

It is an arithmetic number, because the mean of its divisors is an integer number (6015798900).

Almost surely, 2142240217560 is an apocalyptic number.

142240217560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142240217560 is an abundant number, since it is smaller than the sum of its proper divisors (242770912040).

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

142240217560 is a wasteful number, since it uses less digits than its factorization.

142240217560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26736920 (or 26736916 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 142240217560 in words is "one hundred forty-two billion, two hundred forty million, two hundred seventeen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 26736883 53473766 106947532 133684415 187158181 213895064 267368830 374316362 508000777 534737660 748632724 935790905 1016001554 1069475320 1497265448 1871581810 2032003108 2540003885 3556005439 3743163620 4064006216 5080007770 7112010878 7486327240 10160015540 14224021756 17780027195 20320031080 28448043512 35560054390 71120108780 142240217560