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1400191790209 = 372319812
BaseRepresentation
bin10100011000000001111…
…011110010110010000001
311221212010202212202011221
4110120001323302302001
5140420043044241314
62551123401235041
7203106025562122
oct24300173626201
94855122782157
101400191790209
1149a8aa8430a3
121a7449492a81
13a20645783c4
144baabc92049
152664ede6824
hex14601ef2c81

1400191790209 has 9 divisors (see below), whose sum is σ = 1439102594601. Its totient is φ = 1362306170160.

The previous prime is 1400191790177. The next prime is 1400191790227. The reversal of 1400191790209 is 9020971910041.

The square root of 1400191790209 is 1183297.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9981009025 + 1390210781184 = 99905^2 + 1179072^2 .

It is not a de Polignac number, because 1400191790209 - 25 = 1400191790177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1400191790279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43765999 + ... + 43797979.

It is an arithmetic number, because the mean of its divisors is an integer number (159900288289).

Almost surely, 21400191790209 is an apocalyptic number.

1400191790209 is the 1183297-th square number.

1400191790209 is the 591649-th centered octagonal number.

It is an amenable number.

1400191790209 is a deficient number, since it is larger than the sum of its proper divisors (38910804392).

1400191790209 is an frugal number, since it uses more digits than its factorization.

1400191790209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64036 (or 32018 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 43.

It can be divided in two parts, 1400191 and 790209, that added together give a square (2190400 = 14802).

The spelling of 1400191790209 in words is "one trillion, four hundred billion, one hundred ninety-one million, seven hundred ninety thousand, two hundred nine".

Divisors: 1 37 1369 31981 1183297 43781989 1022784361 37843021357 1400191790209