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1399713779025 = 34526124312
BaseRepresentation
bin10100010111100101011…
…100010100110101010001
311221210220110102021010000
4110113211130110311101
5140413103211412100
62551004124000213
7203061132546402
oct24274534246521
94853813367100
101399713779025
1149a684a35231
121a7335390069
13a1cb9521a53
144ba645c19a9
1526622e73900
hex145e5714d51

1399713779025 has 135 divisors (see below), whose sum is σ = 2642084814369. Its totient is φ = 732572424000.

The previous prime is 1399713779003. The next prime is 1399713779027. The reversal of 1399713779025 is 5209773179931.

The square root of 1399713779025 is 1183095.

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

1399713779025 is a `hidden beast` number, since 1 + 3 + 99 + 71 + 377 + 90 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 644733520209 + 754980258816 = 802953^2 + 868896^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1399713779025 - 221 = 1399711681873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1399713779027) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3247595560 + ... + 3247595990.

Almost surely, 21399713779025 is an apocalyptic number.

1399713779025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1399713779025 is the 1183095-th square number.

1399713779025 is the 591548-th centered octagonal number.

It is an amenable number.

1399713779025 is a deficient number, since it is larger than the sum of its proper divisors (1242371035344).

1399713779025 is an frugal number, since it uses more digits than its factorization.

1399713779025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 22504230, while the sum is 63.

The spelling of 1399713779025 in words is "one trillion, three hundred ninety-nine billion, seven hundred thirteen million, seven hundred seventy-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 81 135 183 225 305 405 431 549 675 915 1293 1525 1647 2025 2155 2745 3721 3879 4575 4941 6465 8235 10775 11163 11637 13725 18605 19395 24705 26291 32325 33489 34911 41175 55815 58185 78873 93025 96975 100467 123525 131455 167445 174555 185761 236619 279075 290925 301401 394365 502335 557283 657275 709857 837225 872775 928805 1183095 1507005 1603751 1671849 1971825 2129571 2511675 2786415 3549285 4644025 4811253 5015547 5915475 7535025 8018755 8359245 10647855 11331421 13932075 14433759 15046641 17746425 24056265 25077735 33994263 40093775 41796225 43301277 53239275 56657105 72168795 75233205 101982789 120281325 125388675 129903831 169971315 216506385 283285525 305948367 360843975 376166025 509913945 649519155 691216681 849856575 917845101 1082531925 1529741835 2073650043 2549569725 3247595775 3456083405 4589225505 6220950129 7648709175 10368250215 17280417025 18662850387 22946127525 31104750645 51841251075 55988551161 93314251935 155523753225 279942755805 466571259675 1399713779025