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142363044124 = 227194311355073
BaseRepresentation
bin1000010010010101111…
…1111010100100011100
3111121110112011221212221
42010211133322210130
54313024414402444
6145222314035124
713166613623530
oct2044537724434
9447415157787
10142363044124
1155415255174
1223711118aa4
131056a30b862
146c673cbbc0
153a833e7a84
hex21257fa91c

142363044124 has 96 divisors (see below), whose sum is σ = 309401326080. Its totient is φ = 55956676608.

The previous prime is 142363044107. The next prime is 142363044139. The reversal of 142363044124 is 421440363241.

142363044124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142363044124.

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 31 ways as a sum of consecutive naturals, for example, 2557452 + ... + 2612524.

It is an arithmetic number, because the mean of its divisors is an integer number (3222930480).

Almost surely, 2142363044124 is an apocalyptic number.

142363044124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142363044124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154700663040).

142363044124 is an abundant number, since it is smaller than the sum of its proper divisors (167038281956).

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

142363044124 is a wasteful number, since it uses less digits than its factorization.

142363044124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55259 (or 55257 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 142363044124 in words is "one hundred forty-two billion, three hundred sixty-three million, forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 113 133 172 226 266 301 452 532 602 791 817 1204 1582 1634 2147 3164 3268 4294 4859 5719 8588 9718 11438 15029 19436 22876 30058 34013 55073 60116 68026 92321 110146 136052 184642 220292 369284 385511 646247 771022 1046387 1292494 1542044 2092774 2368139 2584988 4185548 4736278 6223249 7324709 9472556 12446498 14649418 16576973 24892996 29298836 33153946 43562743 44994641 66307892 87125486 89989282 118241731 174250972 179978564 236483462 267599707 314962487 472966924 535199414 629924974 827692117 1070398828 1259849948 1655384234 1873197949 3310768468 3746395898 5084394433 7492791796 10168788866 20337577732 35590761031 71181522062 142363044124