Search a number
-
+
397985601321 = 327211227312
BaseRepresentation
bin1011100101010011100…
…10100101011100101001
31102001021022010022111100
411302221302211130221
523010033303220241
6502455420352013
740516311536400
oct5625162453451
91361238108440
10397985601321
1114386a550900
12651706a5609
132b6b71c2269
141539683a637
15a544b3e9b6
hex5ca9ca5729

397985601321 has 81 divisors (see below), whose sum is σ = 735313098429. Its totient is φ = 206670063600.

The previous prime is 397985601313. The next prime is 397985601323. The reversal of 397985601321 is 123106589793.

The square root of 397985601321 is 630861.

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

397985601321 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 8 + 5 + 601 + 3 + 21 = 666.

It is not a de Polignac number, because 397985601321 - 23 = 397985601313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (397985601323) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 145727526 + ... + 145730256.

Almost surely, 2397985601321 is an apocalyptic number.

397985601321 is the 630861-st square number.

397985601321 is the 315431-st centered octagonal number.

It is an amenable number.

397985601321 is a deficient number, since it is larger than the sum of its proper divisors (337327497108).

397985601321 is an equidigital number, since it uses as much as digits as its factorization.

397985601321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 397985601321 in words is "three hundred ninety-seven billion, nine hundred eighty-five million, six hundred one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 2731 4851 5929 7623 8193 17787 19117 24579 30041 53361 57351 90123 133819 172053 210287 270369 330451 401457 630861 991353 1204371 1472009 1892583 2313157 2974059 4416027 6939471 7458361 13248081 16192099 20818413 22375083 48576297 52208527 67125249 82041971 145728891 156625581 246125913 365459689 469876743 574293797 738377739 902461681 1096379067 1722881391 2707385043 3289137201 4020056579 5168644173 6317231767 8122155129 12060169737 18951695301 36180509211 44220622369 56855085903 132661867107 397985601321