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14012233000400 = 245244379075807
BaseRepresentation
bin1100101111100111101000…
…1010111010010111010000
31211121120000121110202120102
43023321322022322113100
53314034023122003100
645445044142431532
72644231124214545
oct313717212722720
954546017422512
1014012233000400
114512611259978
1216a37b85925a8
137a846a45861b
143662a4dbcbcc
15194754d45cd5
hexcbe7a2ba5d0

14012233000400 has 60 divisors (see below), whose sum is σ = 33740382060672. Its totient is φ = 5592241000320.

The previous prime is 14012233000379. The next prime is 14012233000453. The reversal of 14012233000400 is 400033221041.

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 11 ways as a sum of consecutive naturals, for example, 39360704 + ... + 39715103.

Almost surely, 214012233000400 is an apocalyptic number.

14012233000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14012233000400 is an abundant number, since it is smaller than the sum of its proper divisors (19728149060272).

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

14012233000400 is a wasteful number, since it uses less digits than its factorization.

14012233000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79076268 (or 79076257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14012233000400 its reverse (400033221041), we get a palindrome (14412266221441).

The spelling of 14012233000400 in words is "fourteen trillion, twelve billion, two hundred thirty-three million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 443 886 1772 2215 3544 4430 7088 8860 11075 17720 22150 35440 44300 88600 177200 79075807 158151614 316303228 395379035 632606456 790758070 1265212912 1581516140 1976895175 3163032280 3953790350 6326064560 7907580700 15815161400 31630322800 35030582501 70061165002 140122330004 175152912505 280244660008 350305825010 560489320016 700611650020 875764562525 1401223300040 1751529125050 2802446600080 3503058250100 7006116500200 14012233000400