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1412421400 = 2352131075077
BaseRepresentation
bin101010000101111…
…1101011100011000
310122102201102220201
41110023331130120
510343034441100
6352053031544
750000245435
oct12413753430
93572642821
101412421400
11665303115
123350255b4
1319680a510
14d5826b8c
1583eea36a
hex542fd718

1412421400 has 96 divisors (see below), whose sum is σ = 3570240240. Its totient is φ = 516533760.

The previous prime is 1412421397. The next prime is 1412421401. The reversal of 1412421400 is 41242141.

It is a super-2 number, since 2×14124214002 = 3989868422355920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412421401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275662 + ... + 280738.

Almost surely, 21412421400 is an apocalyptic number.

1412421400 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 1412421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785120120).

1412421400 is an abundant number, since it is smaller than the sum of its proper divisors (2157818840).

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

1412421400 is a wasteful number, since it uses less digits than its factorization.

1412421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1412421400 is about 37582.1952525395. The cubic root of 1412421400 is about 1121.9877011413.

Adding to 1412421400 its reverse (41242141), we get a palindrome (1453663541).

The spelling of 1412421400 in words is "one billion, four hundred twelve million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 107 130 200 214 260 325 428 520 535 650 856 1070 1300 1391 2140 2600 2675 2782 4280 5077 5350 5564 6955 10154 10700 11128 13910 20308 21400 25385 27820 34775 40616 50770 55640 66001 69550 101540 126925 132002 139100 203080 253850 264004 278200 330005 507700 528008 543239 660010 1015400 1086478 1320020 1650025 2172956 2640040 2716195 3300050 4345912 5432390 6600100 7062107 10864780 13200200 13580975 14124214 21729560 27161950 28248428 35310535 54323900 56496856 70621070 108647800 141242140 176552675 282484280 353105350 706210700 1412421400