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140838831225 = 325212721972
BaseRepresentation
bin1000001100101010100…
…1100000010001111001
3111110112022002220212100
42003022221200101321
54301414220044400
6144411144534013
713114055212251
oct2031251402171
9443468086770
10140838831225
1154802937494
1223366781309
13103865bc731
146b60bc4961
1539e46b9100
hex20caa60479

140838831225 has 81 divisors (see below), whose sum is σ = 255557129997. Its totient is φ = 74144306880.

The previous prime is 140838831191. The next prime is 140838831233. The reversal of 140838831225 is 522138838041.

The square root of 140838831225 is 375285.

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

140838831225 is a `hidden beast` number, since 1 + 40 + 8 + 388 + 3 + 1 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32476725369 + 108362105856 = 180213^2 + 329184^2 .

It is not a de Polignac number, because 140838831225 - 211 = 140838829177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 714917827 + ... + 714918023.

Almost surely, 2140838831225 is an apocalyptic number.

140838831225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

140838831225 is the 375285-th square number.

140838831225 is the 187643-rd centered octagonal number.

It is an amenable number.

140838831225 is a deficient number, since it is larger than the sum of its proper divisors (114718298772).

140838831225 is an equidigital number, since it uses as much as digits as its factorization.

140838831225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 140838831225 in words is "one hundred forty billion, eight hundred thirty-eight million, eight hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 127 197 225 381 591 635 985 1143 1773 1905 2955 3175 4925 5715 8865 9525 14775 16129 25019 28575 38809 44325 48387 75057 80645 116427 125095 145161 194045 225171 241935 349281 375285 403225 582135 625475 725805 970225 1125855 1209675 1746405 1876425 2910675 3177413 3629025 4928743 5629275 8732025 9532239 14786229 15887065 24643715 28596717 44358687 47661195 73931145 79435325 123218575 142983585 221793435 238305975 369655725 625950361 714917925 1108967175 1877851083 3129751805 5633553249 9389255415 15648759025 28167766245 46946277075 140838831225