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142054302400 = 2652181490519
BaseRepresentation
bin1000010001001100011…
…0001010001011000000
3111120200000020020212021
42010103012022023000
54311411400134100
6145131524411224
713156144435063
oct2042306121300
9446600206767
10142054302400
1155276a4aa1a
1223645846b14
131051b36cb4a
146c383c08da
153a6625da1a
hex211318a2c0

142054302400 has 84 divisors (see below), whose sum is σ = 351474257680. Its totient is φ = 56507673600.

The previous prime is 142054302367. The next prime is 142054302431. The reversal of 142054302400 is 4203450241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44341 + ... + 534859.

Almost surely, 2142054302400 is an apocalyptic number.

142054302400 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 142054302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175737128840).

142054302400 is an abundant number, since it is smaller than the sum of its proper divisors (209419955280).

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

142054302400 is a wasteful number, since it uses less digits than its factorization.

142054302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490722 (or 490707 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 142054302400 its reverse (4203450241), we get a palindrome (146257752641).

The spelling of 142054302400 in words is "one hundred forty-two billion, fifty-four million, three hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 181 200 320 362 400 724 800 905 1448 1600 1810 2896 3620 4525 5792 7240 9050 11584 14480 18100 28960 36200 57920 72400 144800 289600 490519 981038 1962076 2452595 3924152 4905190 7848304 9810380 12262975 15696608 19620760 24525950 31393216 39241520 49051900 78483040 88783939 98103800 156966080 177567878 196207600 355135756 392415200 443919695 710271512 784830400 887839390 1420543024 1775678780 2219598475 2841086048 3551357560 4439196950 5682172096 7102715120 8878393900 14205430240 17756787800 28410860480 35513575600 71027151200 142054302400