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402226008757248 = 210313192272335211
BaseRepresentation
bin101101101110100101000101…
…0010111110001010000000000
31221202011102122010110102012210
41123131022022113301100000
5410210032331220212443
63543244024424022120
7150502604314112124
oct13335121227612000
91852142563412183
10402226008757248
11107186101a29985
1239142118601940
131435899961c980
147147bb250d584
153177c4cab3c33
hex16dd28a5f1400

402226008757248 has 352 divisors, whose sum is σ = 1220666500247040. Its totient is φ = 116731506032640.

The previous prime is 402226008757189. The next prime is 402226008757273. The reversal of 402226008757248 is 842757800622204.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 171076363 + ... + 173411573.

It is an arithmetic number, because the mean of its divisors is an integer number (3467802557520).

Almost surely, 2402226008757248 is an apocalyptic number.

402226008757248 is a gapful number since it is divisible by the number (48) 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 402226008757248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610333250123520).

402226008757248 is an abundant number, since it is smaller than the sum of its proper divisors (818440491489792).

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

402226008757248 is a wasteful number, since it uses less digits than its factorization.

402226008757248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335493 (or 2335475 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 57.

The spelling of 402226008757248 in words is "four hundred two trillion, two hundred twenty-six billion, eight million, seven hundred fifty-seven thousand, two hundred forty-eight".