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142188930240 = 263571729167257
BaseRepresentation
bin1000010001101100011…
…1101110010011000000
3111121000101120001112120
42010123013232103000
54312200331231430
6145153134124240
713162400652060
oct2043307562300
9447011501476
10142188930240
1155335a428a5
1223682950680
1310540218ba6
146c4c2273a0
153a72ea3610
hex211b1ee4c0

142188930240 has 896 divisors, whose sum is σ = 570726051840. Its totient is φ = 29242687488.

The previous prime is 142188930227. The next prime is 142188930277. The reversal of 142188930240 is 42039881241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 142188930192 and 142188930201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 553264192 + ... + 553264448.

It is an arithmetic number, because the mean of its divisors is an integer number (636971040).

Almost surely, 2142188930240 is an apocalyptic number.

142188930240 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 142188930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285363025920).

142188930240 is an abundant number, since it is smaller than the sum of its proper divisors (428537121600).

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

142188930240 is a wasteful number, since it uses less digits than its factorization.

142188930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 142188930240 in words is "one hundred forty-two billion, one hundred eighty-eight million, nine hundred thirty thousand, two hundred forty".