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1401225213200 = 245229120795277
BaseRepresentation
bin10100011000111111100…
…001111111010100010000
311221221210210110002000112
4110120333201333110100
5140424202123310300
62551414115140452
7203143444536131
oct24307741772420
94857723402015
101401225213200
114a029011508a
121a76975a4728
13a219a6b85b7
144bb6921dc88
15266b09cae35
hex1463f87f510

1401225213200 has 60 divisors (see below), whose sum is σ = 3482527864740. Its totient is φ = 541162836480.

The previous prime is 1401225213173. The next prime is 1401225213203. The reversal of 1401225213200 is 23125221041.

It can be written as a sum of positive squares in 6 ways, for example, as 5112822016 + 1396112391184 = 71504^2 + 1181572^2 .

It is not an unprimeable number, because it can be changed into a prime (1401225213203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60386039 + ... + 60409238.

It is an arithmetic number, because the mean of its divisors is an integer number (58042131079).

Almost surely, 21401225213200 is an apocalyptic number.

1401225213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401225213200 is an abundant number, since it is smaller than the sum of its proper divisors (2081302651540).

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

1401225213200 is a wasteful number, since it uses less digits than its factorization.

1401225213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120795324 (or 120795313 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 1401225213200 in words is "one trillion, four hundred one billion, two hundred twenty-five million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 120795277 241590554 483181108 603976385 966362216 1207952770 1932724432 2415905540 3019881925 3503063033 4831811080 6039763850 7006126066 9663622160 12079527700 14012252132 17515315165 24159055400 28024504264 35030630330 48318110800 56049008528 70061260660 87576575825 140122521320 175153151650 280245042640 350306303300 700612606600 1401225213200