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401303322420 = 22357111323290509
BaseRepresentation
bin1011101011011111000…
…10101011111100110100
31102100211112000000020120
411311233202223330310
523033332122304140
6504204534531540
740664445646560
oct5655742537464
91370745000216
10401303322420
11145212299870
1265937806bb0
132bac566a640
14155cd30a6a0
15a68b0431d0
hex5d6f8abf34

401303322420 has 384 divisors, whose sum is σ = 1574276014080. Its totient is φ = 73626347520.

The previous prime is 401303322419. The next prime is 401303322463. The reversal of 401303322420 is 24223303104.

It is a super-2 number, since 2×4013033224202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1236126 + ... + 1526634.

It is an arithmetic number, because the mean of its divisors is an integer number (4099677120).

Almost surely, 2401303322420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401303322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787138007040).

401303322420 is an abundant number, since it is smaller than the sum of its proper divisors (1172972691660).

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

401303322420 is a wasteful number, since it uses less digits than its factorization.

401303322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290575 (or 290573 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 401303322420 its reverse (24223303104), we get a palindrome (425526625524).

The spelling of 401303322420 in words is "four hundred one billion, three hundred three million, three hundred twenty-two thousand, four hundred twenty".