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142414050000 = 24355949427
BaseRepresentation
bin1000010010100010001…
…0011111001011010000
3111121121002011022210110
42010220202133023100
54313130444100000
6145231335201320
713201103310645
oct2045042371320
9447532138713
10142414050000
1155441022692
1223726216240
1310577a59a51
146c700a7dcc
153a87b20850
hex212889f2d0

142414050000 has 120 divisors (see below), whose sum is σ = 459849755232. Its totient is φ = 37977040000.

The previous prime is 142414049983. The next prime is 142414050001. The reversal of 142414050000 is 50414241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142414050001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324714 + ... + 624713.

Almost surely, 2142414050000 is an apocalyptic number.

142414050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142414050000 is an abundant number, since it is smaller than the sum of its proper divisors (317435705232).

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

142414050000 is an frugal number, since it uses more digits than its factorization.

142414050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949463 (or 949437 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 142414050000 its reverse (50414241), we get a palindrome (142464464241).

The spelling of 142414050000 in words is "one hundred forty-two billion, four hundred fourteen million, fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 150000 949427 1898854 2848281 3797708 4747135 5696562 7595416 9494270 11393124 14241405 15190832 18988540 22786248 23735675 28482810 37977080 45572496 47471350 56965620 71207025 75954160 94942700 113931240 118678375 142414050 189885400 227862480 237356750 284828100 356035125 379770800 474713500 569656200 593391875 712070250 949427000 1139312400 1186783750 1424140500 1780175625 1898854000 2373567500 2848281000 2966959375 3560351250 4747135000 5696562000 5933918750 7120702500 8900878125 9494270000 11867837500 14241405000 17801756250 23735675000 28482810000 35603512500 47471350000 71207025000 142414050000