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142104310000 = 245431458401
BaseRepresentation
bin1000010001011000010…
…0111011000011110000
3111120210111022220101121
42010112010323003300
54312012200410000
6145140512312024
713160322463612
oct2042604730360
9446714286347
10142104310000
11552a21a6414
122365a542614
131052882b843
146c40cbadb2
153a6a83ab1a
hex211613b0f0

142104310000 has 100 divisors (see below), whose sum is σ = 355147866304. Its totient is φ = 55008000000.

The previous prime is 142104309983. The next prime is 142104310001. The reversal of 142104310000 is 13401241.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1421043100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142104310001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80800 + ... + 539200.

Almost surely, 2142104310000 is an apocalyptic number.

142104310000 is a gapful number since it is divisible by the number (10) 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 142104310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177573933152).

142104310000 is an abundant number, since it is smaller than the sum of its proper divisors (213043556304).

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

142104310000 is an equidigital number, since it uses as much as digits as its factorization.

142104310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458460 (or 458439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 142104310000 its reverse (13401241), we get a palindrome (142117711241).

The spelling of 142104310000 in words is "one hundred forty-two billion, one hundred four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 12400 15500 19375 31000 38750 62000 77500 155000 310000 458401 916802 1833604 2292005 3667208 4584010 7334416 9168020 11460025 14210431 18336040 22920050 28420862 36672080 45840100 56841724 57300125 71052155 91680200 113683448 114600250 142104310 183360400 227366896 229200500 284208620 286500625 355260775 458401000 568417240 573001250 710521550 916802000 1136834480 1146002500 1421043100 1776303875 2292005000 2842086200 3552607750 4584010000 5684172400 7105215500 8881519375 14210431000 17763038750 28420862000 35526077500 71052155000 142104310000