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401925316416 = 263131091477319
BaseRepresentation
bin1011101100101001001…
…11011001111101000000
31102102102212101120121020
411312110213121331000
523041120340111131
6504350354225440
741016040551261
oct5662447317500
91372385346536
10401925316416
111455013aa098
1265a8bb85280
132bb94497120
141564bb7a968
15a6c5957996
hex5d949d9f40

401925316416 has 112 divisors (see below), whose sum is σ = 1155736982400. Its totient is φ = 122534664192.

The previous prime is 401925316369. The next prime is 401925316447. The reversal of 401925316416 is 614613529104.

It is a happy number.

It is a super-2 number, since 2×4019253164162 (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 15 ways as a sum of consecutive naturals, for example, 466596 + ... + 1010723.

It is an arithmetic number, because the mean of its divisors is an integer number (10319080200).

Almost surely, 2401925316416 is an apocalyptic number.

It is an amenable number.

401925316416 is an abundant number, since it is smaller than the sum of its proper divisors (753811665984).

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

401925316416 is a wasteful number, since it uses less digits than its factorization.

401925316416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477456 (or 1477446 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 401925316416 in words is "four hundred one billion, nine hundred twenty-five million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 156 192 208 218 312 327 416 436 624 654 832 872 1248 1308 1417 1744 2496 2616 2834 3488 4251 5232 5668 6976 8502 10464 11336 17004 20928 22672 34008 45344 68016 90688 136032 272064 1477319 2954638 4431957 5909276 8863914 11818552 17727828 19205147 23637104 35455656 38410294 47274208 57615441 70911312 76820588 94548416 115230882 141822624 153641176 161027771 230461764 283645248 307282352 322055542 460923528 483083313 614564704 644111084 921847056 966166626 1229129408 1288222168 1843694112 1932333252 2093361023 2576444336 3687388224 3864666504 4186722046 5152888672 6280083069 7729333008 8373444092 10305777344 12560166138 15458666016 16746888184 25120332276 30917332032 33493776368 50240664552 66987552736 100481329104 133975105472 200962658208 401925316416