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1399716145216 = 2641236072
BaseRepresentation
bin10100010111100101100…
…101010110100001000000
311221210220121212110220201
4110113211211112201000
5140413104313121331
62551004250414544
7203061161633044
oct24274545264100
94853817773821
101399716145216
1149a686300a64
121a7336131454
13a1cb9b6ca6c
144ba64a3a024
152662328ea61
hex145e5956840

1399716145216 has 63 divisors (see below), whose sum is σ = 2847748966797. Its totient is φ = 682599068160.

The previous prime is 1399716145193. The next prime is 1399716145259. The reversal of 1399716145216 is 6125416179931.

The square root of 1399716145216 is 1183096.

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

It can be written as a sum of positive squares in only one way, i.e., 67446167616 + 1332269977600 = 259704^2 + 1154240^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 388053685 + ... + 388057291.

Almost surely, 21399716145216 is an apocalyptic number.

1399716145216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1399716145216 is the 1183096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399716145216

1399716145216 is an abundant number, since it is smaller than the sum of its proper divisors (1448032821581).

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

1399716145216 is an frugal number, since it uses more digits than its factorization.

1399716145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 3650 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 55.

The spelling of 1399716145216 in words is "one trillion, three hundred ninety-nine billion, seven hundred sixteen million, one hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 3607 6724 7214 13448 14428 26896 28856 53792 57712 107584 115424 147887 230848 295774 591548 1183096 2366192 4732384 6063367 9464768 12126734 13010449 24253468 26020898 48506936 52041796 97013872 104083592 194027744 208167184 388055488 416334368 533428409 832668736 1066856818 2133713636 4267427272 8534854544 17069709088 21870564769 34139418176 43741129538 87482259076 174964518152 349929036304 699858072608 1399716145216