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2403400243296 = 2531323591419161
BaseRepresentation
bin100010111110010101110…
…100010101100001100000
322111202121002120110212210
4202332111310111201200
5303334130430241141
65040035024122120
7335432332665603
oct42762564254140
98452532513783
102403400243296
11847304865308
12329965a66340
131458414821a0
148447a48433a
15427b817a916
hex22f95d15860

2403400243296 has 192 divisors, whose sum is σ = 7209797091840. Its totient is φ = 695365693440.

The previous prime is 2403400243291. The next prime is 2403400243297. The reversal of 2403400243296 is 6923420043042.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2403400243291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 983956 + ... + 2403116.

It is an arithmetic number, because the mean of its divisors is an integer number (37551026520).

Almost surely, 22403400243296 is an apocalyptic number.

2403400243296 is a gapful number since it is divisible by the number (26) 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 2403400243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604898545920).

2403400243296 is an abundant number, since it is smaller than the sum of its proper divisors (4806396848544).

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

2403400243296 is a wasteful number, since it uses less digits than its factorization.

2403400243296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419269 (or 1419261 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 2403400243296 in words is "two trillion, four hundred three billion, four hundred million, two hundred forty-three thousand, two hundred ninety-six".