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401224542208 = 211731229123
BaseRepresentation
bin1011101011010101101…
…10001010100000000000
31102100122000202120002221
411311222312022200000
523033201440322313
6504153042220424
740662501223630
oct5655266124000
91370560676087
10401224542208
11145181881056
1265915354714
132bab2246529
14155c2a806c0
15a684180c8d
hex5d6ad8a800

401224542208 has 144 divisors (see below), whose sum is σ = 947423524320. Its totient is φ = 166400778240.

The previous prime is 401224542161. The next prime is 401224542221. The reversal of 401224542208 is 802245422104.

It is a super-2 number, since 2×4012245422082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13762335 + ... + 13791457.

It is an arithmetic number, because the mean of its divisors is an integer number (6579330030).

Almost surely, 2401224542208 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 401224542208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473711762160).

401224542208 is an abundant number, since it is smaller than the sum of its proper divisors (546198982112).

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

401224542208 is an equidigital number, since it uses as much as digits as its factorization.

401224542208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29214 (or 29163 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 401224542208 in words is "four hundred one billion, two hundred twenty-four million, five hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 961 992 1024 1736 1792 1922 1984 2048 3472 3584 3844 3968 6727 6944 7168 7688 7936 13454 13888 14336 15376 15872 26908 27776 29123 30752 31744 53816 55552 58246 61504 63488 107632 111104 116492 123008 203861 215264 222208 232984 246016 407722 430528 444416 465968 492032 815444 861056 902813 931936 984064 1630888 1722112 1805626 1863872 1968128 3261776 3444224 3611252 3727744 6319691 6523552 6888448 7222504 7455488 12639382 13047104 13776896 14445008 14910976 25278764 26094208 27987203 28890016 29821952 50557528 52188416 55974406 57780032 59643904 101115056 104376832 111948812 115560064 195910421 202230112 208753664 223897624 231120128 391820842 404460224 417507328 447795248 462240256 783641684 808920448 895590496 924480512 1567283368 1617840896 1791180992 1848961024 3134566736 3235681792 3582361984 6269133472 6471363584 7164723968 12538266944 12942727168 14329447936 25076533888 28658895872 50153067776 57317791744 100306135552 200612271104 401224542208