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142148963880 = 2337571147449
BaseRepresentation
bin1000010001100010111…
…1010000111000101000
3111120220121100120000000
42010120233100320220
54312110113321010
6145145145343000
713161404154060
oct2043057207050
9446817316000
10142148963880
1155315425550
1223671497a60
1310534b64761
146c46bc23a0
153a6e70b7c0
hex2118bd0e28

142148963880 has 1024 divisors, whose sum is σ = 612126720000. Its totient is φ = 28844605440.

The previous prime is 142148963843. The next prime is 142148963881. The reversal of 142148963880 is 88369841241.

It is a happy number.

142148963880 is a `hidden beast` number, since 1 + 4 + 21 + 489 + 63 + 8 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (142148963881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 316589896 + ... + 316590344.

It is an arithmetic number, because the mean of its divisors is an integer number (597780000).

Almost surely, 2142148963880 is an apocalyptic number.

142148963880 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 142148963880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306063360000).

142148963880 is an abundant number, since it is smaller than the sum of its proper divisors (469977756120).

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

142148963880 is a wasteful number, since it uses less digits than its factorization.

142148963880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 142148963880 in words is "one hundred forty-two billion, one hundred forty-eight million, nine hundred sixty-three thousand, eight hundred eighty".