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401402431100 = 2252114574791667
BaseRepresentation
bin1011101011101010111…
…00110000011001111100
31102101002102111020210102
411311311130300121330
523034033010243400
6504222435100232
741000061240266
oct5656534603174
91371072436712
10401402431100
11145263231670
1265964a41678
132bb1005b528
14155dc548b36
15a694abd9d5
hex5d7573067c

401402431100 has 144 divisors (see below), whose sum is σ = 954868884480. Its totient is φ = 145253875200.

The previous prime is 401402431069. The next prime is 401402431139. The reversal of 401402431100 is 1134204104.

It is a super-2 number, since 2×4014024311002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240792467 + ... + 240794133.

It is an arithmetic number, because the mean of its divisors is an integer number (6631033920).

Almost surely, 2401402431100 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 401402431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477434442240).

401402431100 is an abundant number, since it is smaller than the sum of its proper divisors (553466453380).

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

401402431100 is a wasteful number, since it uses less digits than its factorization.

401402431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 401402431100 its reverse (1134204104), we get a palindrome (402536635204).

The spelling of 401402431100 in words is "four hundred one billion, four hundred two million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 457 479 550 914 958 1100 1667 1828 1916 2285 2395 3334 4570 4790 5027 5269 6668 8335 9140 9580 10054 10538 11425 11975 16670 18337 20108 21076 22850 23950 25135 26345 33340 36674 41675 45700 47900 50270 52690 73348 83350 91685 100540 105380 125675 131725 166700 183370 218903 251350 263450 366740 437806 458425 502700 526900 761819 798493 875612 916850 1094515 1523638 1596986 1833700 2189030 2407933 3047276 3193972 3809095 3992465 4378060 4815866 5472575 7618190 7984930 8380009 8783423 9631732 10945150 12039665 15236380 15969860 16760018 17566846 19045475 19962325 21890300 24079330 33520036 35133692 38090950 39924650 41900045 43917115 48158660 60198325 76181900 79849300 83800090 87834230 120396650 167600180 175668460 209500225 219585575 240793300 364911301 419000450 439171150 729822602 838000900 878342300 1459645204 1824556505 3649113010 4014024311 7298226020 8028048622 9122782525 16056097244 18245565050 20070121555 36491130100 40140243110 80280486220 100350607775 200701215550 401402431100