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142919789040 = 24355719167331
BaseRepresentation
bin1000010100011010101…
…1101110100111110000
3111122220022210112100000
42011012223232213300
54320144431222130
6145353443030000
713216454106540
oct2050653564760
9448808715300
10142919789040
1155680549936
122384766b300
1310628771112
146cbb315320
153ab721e260
hex2146aee9f0

142919789040 has 960 divisors, whose sum is σ = 604201328640. Its totient is φ = 30669788160.

The previous prime is 142919789003. The next prime is 142919789063. The reversal of 142919789040 is 40987919241.

142919789040 is a `hidden beast` number, since 1 + 429 + 1 + 97 + 8 + 90 + 40 = 666.

142919789040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 431781675 + ... + 431782005.

It is an arithmetic number, because the mean of its divisors is an integer number (629376384).

Almost surely, 2142919789040 is an apocalyptic number.

142919789040 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 142919789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302100664320).

142919789040 is an abundant number, since it is smaller than the sum of its proper divisors (461281539600).

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

142919789040 is a wasteful number, since it uses less digits than its factorization.

142919789040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 142919789040 in words is "one hundred forty-two billion, nine hundred nineteen million, seven hundred eighty-nine thousand, forty".