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143863256478601 = 112192573892
BaseRepresentation
bin100000101101011111000110…
…010011000111001110001001
3200212101012012200212121121201
4200231133012103013032021
5122324023422124303401
61225545511224504201
742205530415402462
oct4055370623071611
9625335180777551
10143863256478601
1141926078858300
12141757b561b061
1362373294cbb5a
1427750396c9d69
1511973305ccb01
hex82d7c64c7389

143863256478601 has 27 divisors (see below), whose sum is σ = 166894297870503. Its totient is φ = 123899210241840.

The previous prime is 143863256478577. The next prime is 143863256478607. The reversal of 143863256478601 is 106874652368341.

The square root of 143863256478601 is 11994301.

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., 102371880174201 + 41491376304400 = 10117899^2 + 6441380^2 .

It is not a de Polignac number, because 143863256478601 - 211 = 143863256476553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (143863256478607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2506780215 + ... + 2506837603.

Almost surely, 2143863256478601 is an apocalyptic number.

143863256478601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

143863256478601 is the 11994301-st square number.

143863256478601 is the 5997151-st centered octagonal number.

It is an amenable number.

143863256478601 is a deficient number, since it is larger than the sum of its proper divisors (23031041391902).

143863256478601 is an frugal number, since it uses more digits than its factorization.

143863256478601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114838 (or 57419 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 143863256478601 in words is "one hundred forty-three trillion, eight hundred sixty-three billion, two hundred fifty-six million, four hundred seventy-eight thousand, six hundred one".

Divisors: 1 11 19 121 209 361 2299 3971 43681 57389 631279 1090391 6944069 11994301 20717429 131937311 227891719 2506808909 3293497321 36228470531 62576449099 398513175841 688340940089 1188952532881 7571750340979 13078477861691 143863256478601