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140404332311040 = 2935722879129593
BaseRepresentation
bin11111111011001001101110…
…010110100011001000000000
3200102010112010022211010002110
4133323021232112203020000
5121400341033032423130
61214340505415415320
741400610146155400
oct3773115626431000
9612115108733073
10140404332311040
114081216328aa96
12138b7372984540
1360460c17720a5
14269586a9c8800
15113738b3ecab0
hex7fb26e5a3200

140404332311040 has 480 divisors, whose sum is σ = 522322956334080. Its totient is φ = 32081024188416.

The previous prime is 140404332311021. The next prime is 140404332311053. The reversal of 140404332311040 is 40113233404041.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140404332310989 and 140404332311007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1083360484 + ... + 1083490076.

It is an arithmetic number, because the mean of its divisors is an integer number (1088172825696).

Almost surely, 2140404332311040 is an apocalyptic number.

140404332311040 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 140404332311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261161478167040).

140404332311040 is an abundant number, since it is smaller than the sum of its proper divisors (381918624023040).

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

140404332311040 is a wasteful number, since it uses less digits than its factorization.

140404332311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132512 (or 132489 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 140404332311040 its reverse (40113233404041), we get a palindrome (180517565715081).

The spelling of 140404332311040 in words is "one hundred forty trillion, four hundred four billion, three hundred thirty-two million, three hundred eleven thousand, forty".