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142321343554120 = 23537385324957973
BaseRepresentation
bin100000010111000011000101…
…001000000110001001001000
3200122220210021010200022022211
4200113003011020012021020
5122123243102422212440
61222405304515354504
741656243365654013
oct4027030510061110
9618823233608284
10142321343554120
1141391163143455
1213b669b5bb2a34
136154aca925723
1427205657c237a
15116c188838eea
hex8170c5206248

142321343554120 has 64 divisors (see below), whose sum is σ = 328963068742320. Its totient is φ = 55375550290944.

The previous prime is 142321343554051. The next prime is 142321343554163. The reversal of 142321343554120 is 21455343123241.

It can be written as a sum of positive squares in 8 ways, for example, as 106395057780804 + 35926285773316 = 10314798^2 + 5993854^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6776547 + ... + 18181426.

Almost surely, 2142321343554120 is an apocalyptic number.

142321343554120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142321343554120 is an abundant number, since it is smaller than the sum of its proper divisors (186641725188200).

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

142321343554120 is a wasteful number, since it uses less digits than its factorization.

142321343554120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24961874 (or 24961870 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 142321343554120 its reverse (21455343123241), we get a palindrome (163776686677361).

The spelling of 142321343554120 in words is "one hundred forty-two trillion, three hundred twenty-one billion, three hundred forty-three million, five hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 3853 7706 15412 19265 30824 38530 77060 142561 154120 285122 570244 712805 1140488 1425610 2851220 5702440 24957973 49915946 99831892 124789865 199663784 249579730 499159460 923445001 998318920 1846890002 3693780004 4617225005 7387560008 9234450010 18468900020 36937800040 96163069969 192326139938 384652279876 480815349845 769304559752 961630699690 1923261399380 3558033588853 3846522798760 7116067177706 14232134355412 17790167944265 28464268710824 35580335888530 71160671777060 142321343554120