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405511400112 = 243713293201271
BaseRepresentation
bin1011110011010100101…
…11001110101010110000
31102202200210020111121220
411321222113032222300
523120441404300422
6510142300345040
741203644012630
oct5715227165260
91382623214556
10405511400112
11146a81682925
1266710b45180
132c316413c40
14158ac1466c0
15a8356bae5c
hex5e6a5ceab0

405511400112 has 160 divisors (see below), whose sum is σ = 1333777966080. Its totient is φ = 103260165120.

The previous prime is 405511400089. The next prime is 405511400137. The reversal of 405511400112 is 211004115504.

It is a super-2 number, since 2×4055114001122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1473964 + ... + 1727307.

It is an arithmetic number, because the mean of its divisors is an integer number (8336112288).

Almost surely, 2405511400112 is an apocalyptic number.

405511400112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

405511400112 is an abundant number, since it is smaller than the sum of its proper divisors (928266565968).

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

405511400112 is a wasteful number, since it uses less digits than its factorization.

405511400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201331 (or 3201325 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 405511400112 its reverse (211004115504), we get a palindrome (616515515616).

The spelling of 405511400112 in words is "four hundred five billion, five hundred eleven million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 3016 3248 4368 4524 4872 5278 6032 7917 9048 9744 10556 15834 18096 21112 31668 42224 63336 126672 3201271 6402542 9603813 12805084 19207626 22408897 25610168 38415252 41616523 44817794 51220336 67226691 76830504 83233046 89635588 92836859 124849569 134453382 153661008 166466092 179271176 185673718 249699138 268906764 278510577 291315661 332932184 358542352 371347436 499398276 537813528 557021154 582631322 649858013 665864368 742694872 873946983 998796552 1075627056 1114042308 1165262644 1206879167 1299716026 1485389744 1747893966 1949574039 1997593104 2228084616 2330525288 2413758334 2599432052 3495787932 3620637501 3899148078 4456169232 4661050576 4827516668 5198864104 6991575864 7241275002 7798296156 8448154169 9655033336 10397728208 13983151728 14482550004 15596592312 16896308338 19310066672 25344462507 28965100008 31193184624 33792616676 50688925014 57930200016 67585233352 101377850028 135170466704 202755700056 405511400112