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142136903040 = 27351137181891
BaseRepresentation
bin1000010001100000000…
…1010000010110000000
3111120212202122210122020
42010120001100112000
54312044021344130
6145144035041440
713161166512216
oct2043001202600
9446782583566
10142136903040
1155309638010
1223669440280
1310532500b72
146c45362cb6
153a6d627e10
hex2118050580

142136903040 has 256 divisors, whose sum is σ = 507609642240. Its totient is φ = 33525964800.

The previous prime is 142136903033. The next prime is 142136903063. The reversal of 142136903040 is 40309631241.

It is a super-2 number, since 2×1421369030402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 142136902992 and 142136903010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690495 + ... + 872385.

It is an arithmetic number, because the mean of its divisors is an integer number (1982850165).

Almost surely, 2142136903040 is an apocalyptic number.

142136903040 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 142136903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253804821120).

142136903040 is an abundant number, since it is smaller than the sum of its proper divisors (365472739200).

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

142136903040 is a wasteful number, since it uses less digits than its factorization.

142136903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181961 (or 181949 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 142136903040 in words is "one hundred forty-two billion, one hundred thirty-six million, nine hundred three thousand, forty".