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1400401420 = 2251133119231
BaseRepresentation
bin101001101111000…
…0110111000001100
310121121002202121021
41103132012320030
510332000321140
6350543243524
746463133655
oct12336067014
93547082537
101400401420
11659543350
12330ba95a4
1319418c3c2
14d3db852c
1582e23b4a
hex53786e0c

1400401420 has 48 divisors (see below), whose sum is σ = 3218052096. Its totient is φ = 507672000.

The previous prime is 1400401417. The next prime is 1400401427. The reversal of 1400401420 is 241040041.

It is a super-3 number, since 3×14004014203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1400401394 and 1400401403.

It is not an unprimeable number, because it can be changed into a prime (1400401427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63205 + ... + 82435.

It is an arithmetic number, because the mean of its divisors is an integer number (67042752).

Almost surely, 21400401420 is an apocalyptic number.

1400401420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609026048).

1400401420 is an abundant number, since it is smaller than the sum of its proper divisors (1817650676).

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

1400401420 is a wasteful number, since it uses less digits than its factorization.

1400401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19582 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1400401420 is about 37421.9376836636. The cubic root of 1400401420 is about 1118.7958518914.

Adding to 1400401420 its reverse (241040041), we get a palindrome (1641441461).

The spelling of 1400401420 in words is "one billion, four hundred million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3310 3641 6620 7282 14564 18205 19231 36410 38462 72820 76924 96155 192310 211541 384620 423082 846164 1057705 2115410 4230820 6365461 12730922 25461844 31827305 63654610 70020071 127309220 140040142 280080284 350100355 700200710 1400401420