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940502342025 = 34522329372
BaseRepresentation
bin11011010111110100100…
…11101101100110001001
310022220121020002020110000
431223322103231212021
5110402122044421100
62000021045113213
7124643345001231
oct15537223554611
93286536066400
10940502342025
11332957064934
121323383b8809
136a8c593376c
1433740598cc1
15196e8190900
hexdafa4ed989

940502342025 has 135 divisors (see below), whose sum is σ = 1823119426821. Its totient is φ = 479280447360.

The previous prime is 940502341993. The next prime is 940502342053. The reversal of 940502342025 is 520243205049.

The square root of 940502342025 is 969795.

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

940502342025 is a `hidden beast` number, since 94 + 0 + 502 + 3 + 42 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386412667641 + 554089674384 = 621621^2 + 744372^2 .

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

It is not a de Polignac number, because 940502342025 - 25 = 940502341993 is a prime.

It is a super-2 number, since 2×9405023420252 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 1003737357 + ... + 1003738293.

Almost surely, 2940502342025 is an apocalyptic number.

940502342025 is the 969795-th square number.

940502342025 is the 484898-th centered octagonal number.

It is an amenable number.

940502342025 is a deficient number, since it is larger than the sum of its proper divisors (882617084796).

940502342025 is an frugal number, since it uses more digits than its factorization.

940502342025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 940502342025 by its sum of digits (36), we get a square (33858084312900 = 58187702).

The spelling of 940502342025 in words is "nine hundred forty billion, five hundred two million, three hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 135 207 225 345 405 529 575 621 675 937 1035 1587 1725 1863 2025 2645 2811 3105 4685 4761 5175 7935 8433 9315 13225 14055 14283 15525 21551 23425 23805 25299 39675 42165 42849 46575 64653 70275 71415 75897 107755 119025 126495 193959 210825 214245 323265 357075 379485 495673 538775 581877 632475 877969 969795 1071225 1487019 1616325 1745631 1897425 2478365 2633907 2909385 4389845 4461057 4848975 7435095 7901721 8728155 12391825 13169535 13383171 14546925 20193287 21949225 22305285 23705163 37175475 39508605 40149513 43640775 60579861 65847675 66915855 71115489 100966435 111526425 118525815 181739583 197543025 200747565 302899305 334579275 355577445 464445601 504832175 545218749 592629075 908697915 1003737825 1393336803 1514496525 1635656247 1777887225 2322228005 2726093745 4180010409 4543489575 6966684015 8178281235 11611140025 12540031227 13630468725 20900052045 34833420075 37620093681 40891406175 62700156135 104500260225 188100468405 313500780675 940502342025