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140402130120 = 233257238872731
BaseRepresentation
bin1000001011000010011…
…1100111110011001000
3111102101212101012120100
42002300213213303020
54300020421130440
6144255544525400
713100203262220
oct2026047476310
9442355335510
10140402130120
11545a938448a
1223264480860
1310316c9b005
146b1cbc9080
1539bb1a6230
hex20b09e7cc8

140402130120 has 384 divisors, whose sum is σ = 544980234240. Its totient is φ = 30650780160.

The previous prime is 140402130119. The next prime is 140402130137. The reversal of 140402130120 is 21031204041.

140402130120 is a `hidden beast` number, since 14 + 0 + 402 + 130 + 120 = 666.

It is a super-2 number, since 2×1404021301202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140402130093 and 140402130102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51409155 + ... + 51411885.

It is an arithmetic number, because the mean of its divisors is an integer number (1419219360).

Almost surely, 2140402130120 is an apocalyptic number.

140402130120 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 140402130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272490117120).

140402130120 is an abundant number, since it is smaller than the sum of its proper divisors (404578104120).

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

140402130120 is a wasteful number, since it uses less digits than its factorization.

140402130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3665 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 140402130120 its reverse (21031204041), we get a palindrome (161433334161).

The spelling of 140402130120 in words is "one hundred forty billion, four hundred two million, one hundred thirty thousand, one hundred twenty".