Search a number
-
+
140404054051200 = 2735241913739041
BaseRepresentation
bin11111111011001001011101…
…110001000100100110000000
3200102010111101221020001100110
4133323021131301010212000
5121400340000314114300
61214340422035351320
741400600230043252
oct3773113561044600
9612114357201313
10140404054051200
1140812030205285
12138b72b5752540
136046078c167b4
142695841a73cd2
151137371c85550
hex7fb25dc44980

140404054051200 has 384 divisors, whose sum is σ = 473799247719840. Its totient is φ = 36522950656000.

The previous prime is 140404054051171. The next prime is 140404054051223. The reversal of 140404054051200 is 2150450404041.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1404040540512002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 3596303680 + ... + 3596342720.

Almost surely, 2140404054051200 is an apocalyptic number.

140404054051200 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 140404054051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236899623859920).

140404054051200 is an abundant number, since it is smaller than the sum of its proper divisors (333395193668640).

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

140404054051200 is a wasteful number, since it uses less digits than its factorization.

140404054051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48246 (or 48229 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The spelling of 140404054051200 in words is "one hundred forty trillion, four hundred four billion, fifty-four million, fifty-one thousand, two hundred".