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201142431042 = 23729344947881
BaseRepresentation
bin1011101101010100000…
…1011110110101000010
3201020011221222012021020
42323111001132311002
511243414430243132
6232223100210310
720350332311520
oct2732501366502
9636157865236
10201142431042
1178338727593
1232b96239996
1315c76c08087
149a41b07310
1553738dc52c
hex2ed505ed42

201142431042 has 64 divisors (see below), whose sum is σ = 475755552000. Its totient is φ = 55470320640.

The previous prime is 201142431037. The next prime is 201142431043. The reversal of 201142431042 is 240134241102.

201142431042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (201142431043) by changing a digit.

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, 4176942 + ... + 4224822.

It is an arithmetic number, because the mean of its divisors is an integer number (7433680500).

Almost surely, 2201142431042 is an apocalyptic number.

201142431042 is an abundant number, since it is smaller than the sum of its proper divisors (274613120958).

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

201142431042 is a wasteful number, since it uses less digits than its factorization.

201142431042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51371.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201142431042 its reverse (240134241102), we get a palindrome (441276672144).

The spelling of 201142431042 in words is "two hundred one billion, one hundred forty-two million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 3449 6898 10347 20694 24143 47881 48286 72429 95762 100021 143643 144858 200042 287286 300063 335167 600126 670334 700147 1005501 1388549 1400294 2011002 2100441 2777098 4165647 4200882 8331294 9719843 19439686 29159529 58319058 165141569 330283138 495424707 990849414 1155990983 2311981966 3467972949 4789105501 6935945898 9578211002 14367316503 28734633006 33523738507 67047477014 100571215521 201142431042