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1144482738025 = 521125323672
BaseRepresentation
bin10000101001111000011…
…111001010111101101001
311001102002222011222202111
4100221320133022331221
5122222400040104100
62233433525002321
7145454230522264
oct20517037127551
94042088158674
101144482738025
1140141073a500
12165984b533a1
1383c0279c233
143d571169cdb
151eb85cb66ba
hex10a787caf69

1144482738025 has 81 divisors (see below), whose sum is σ = 1594232951493. Its totient is φ = 814421150400.

The previous prime is 1144482738013. The next prime is 1144482738083. The reversal of 1144482738025 is 5208372844411.

The square root of 1144482738025 is 1069805.

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 8621308201 + 1135861429824 = 92851^2 + 1065768^2 .

It is not a de Polignac number, because 1144482738025 - 29 = 1144482737513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1144482738025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3118481392 + ... + 3118481758.

Almost surely, 21144482738025 is an apocalyptic number.

1144482738025 is the 1069805-th square number.

1144482738025 is the 534903-rd centered octagonal number.

It is an amenable number.

1144482738025 is a deficient number, since it is larger than the sum of its proper divisors (449750213468).

1144482738025 is an frugal number, since it uses more digits than its factorization.

1144482738025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

Multiplying 1144482738025 by its sum of digits (49), we get a square (56079654163225 = 74886352).

The spelling of 1144482738025 in words is "one trillion, one hundred forty-four billion, four hundred eighty-two million, seven hundred thirty-eight thousand, twenty-five".

Divisors: 1 5 11 25 53 55 121 265 275 367 583 605 1325 1835 2809 2915 3025 4037 6413 9175 14045 14575 19451 20185 30899 32065 44407 70225 97255 100925 134689 154495 160325 213961 222035 339889 486275 673445 772475 1030903 1069805 1110175 1481579 1699445 2353571 3367225 5154515 5349025 7138517 7407895 8497225 11339933 11767855 16297369 25772575 35692585 37039475 56699665 58839275 78523687 81486845 124739263 178462925 283498325 378341401 392618435 407434225 623696315 863760557 1891707005 1963092175 3118481575 4161755411 4318802785 9458535025 20808777055 21594013925 45779309521 104043885275 228896547605 1144482738025