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1142240201140 = 2251117121742013
BaseRepresentation
bin10000100111110010110…
…100100100100110110100
311001012022200110022110211
4100213302310210212310
5122203301442414030
62232423215355204
7145344530341003
oct20476264444664
94035280408424
101142240201140
1140046a8a7335
12165459b22b04
1383935cc642c
143d3db3b8c3a
151eaa3e9612a
hex109f2d249b4

1142240201140 has 48 divisors (see below), whose sum is σ = 2402881829712. Its totient is φ = 456101093376.

The previous prime is 1142240201111. The next prime is 1142240201153. The reversal of 1142240201140 is 411020422411.

It can be written as a sum of positive squares in 8 ways, for example, as 106482131856 + 1035758069284 = 326316^2 + 1017722^2 .

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, 27166774 + ... + 27208786.

It is an arithmetic number, because the mean of its divisors is an integer number (50060038119).

Almost surely, 21142240201140 is an apocalyptic number.

1142240201140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142240201140 is an abundant number, since it is smaller than the sum of its proper divisors (1260641628572).

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

1142240201140 is a wasteful number, since it uses less digits than its factorization.

1142240201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44356 (or 44354 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1142240201140 its reverse (411020422411), we get a palindrome (1553260623551).

The spelling of 1142240201140 in words is "one trillion, one hundred forty-two billion, two hundred forty million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1117 1217 2234 2434 4468 4868 5585 6085 11170 12170 22340 24340 42013 84026 168052 210065 420130 840260 1359389 2718778 5437556 6796945 13593890 27187780 46928521 51129821 93857042 102259642 187714084 204519284 234642605 255649105 469285210 511298210 938570420 1022596420 57112010057 114224020114 228448040228 285560050285 571120100570 1142240201140