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401937054144 = 26331411647067
BaseRepresentation
bin1011101100101010101…
…00001011100111000000
31102102110200110220201220
411312111110023213000
523041131341213034
6504351453555040
741016242406123
oct5662524134700
91372420426656
10401937054144
11145507a9689a
1265a93aa5a80
132bb96a46922
141564d5543ba
15a6c69c5749
hex5d9550b9c0

401937054144 has 112 divisors (see below), whose sum is σ = 1124538971136. Its totient is φ = 126494668800.

The previous prime is 401937054119. The next prime is 401937054157. The reversal of 401937054144 is 441450739104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 401937054096 and 401937054105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 579502 + ... + 1067565.

It is an arithmetic number, because the mean of its divisors is an integer number (10040526528).

Almost surely, 2401937054144 is an apocalyptic number.

It is an amenable number.

401937054144 is an abundant number, since it is smaller than the sum of its proper divisors (722601916992).

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

401937054144 is a wasteful number, since it uses less digits than its factorization.

401937054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647154 (or 1647144 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 401937054144 in words is "four hundred one billion, nine hundred thirty-seven million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 164 186 192 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 1984 2542 2624 2976 3813 3936 5084 5952 7626 7872 10168 15252 20336 30504 40672 61008 81344 122016 244032 1647067 3294134 4941201 6588268 9882402 13176536 19764804 26353072 39529608 51059077 52706144 67529747 79059216 102118154 105412288 135059494 153177231 158118432 202589241 204236308 270118988 306354462 316236864 405178482 408472616 540237976 612708924 810356964 816945232 1080475952 1225417848 1620713928 1633890464 2093422157 2160951904 2450835696 3241427856 3267780928 4186844314 4321903808 4901671392 6280266471 6482855712 8373688628 9803342784 12560532942 12965711424 16747377256 25121065884 33494754512 50242131768 66989509024 100484263536 133979018048 200968527072 401937054144