Search a number
-
+
495324442240 = 2754786319081
BaseRepresentation
bin1110011010100111010…
…00110010111010000000
31202100112000022202202121
413031103220302322000
531103411024122430
61015314321454024
750533413201535
oct7152350627200
91670460282677
10495324442240
1118107a809781
127bbb71a1314
133792a597354
1419d8c298d8c
15cd40417a7a
hex7353a32e80

495324442240 has 128 divisors (see below), whose sum is σ = 1210794117120. Its totient is φ = 193679400960.

The previous prime is 495324442189. The next prime is 495324442247. The reversal of 495324442240 is 42244423594.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (495324442247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25949500 + ... + 25968580.

It is an arithmetic number, because the mean of its divisors is an integer number (9459329040).

Almost surely, 2495324442240 is an apocalyptic number.

495324442240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495324442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605397058560).

495324442240 is an abundant number, since it is smaller than the sum of its proper divisors (715469674880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495324442240 is a wasteful number, since it uses less digits than its factorization.

495324442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20010 (or 19998 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 495324442240 in words is "four hundred ninety-five billion, three hundred twenty-four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 320 376 470 640 752 863 940 1504 1726 1880 3008 3452 3760 4315 6016 6904 7520 8630 13808 15040 17260 19081 27616 30080 34520 38162 40561 55232 69040 76324 81122 95405 110464 138080 152648 162244 190810 202805 276160 305296 324488 381620 405610 552320 610592 648976 763240 811220 896807 1221184 1297952 1526480 1622440 1793614 2442368 2595904 3052960 3244880 3587228 4484035 5191808 6105920 6489760 7174456 8968070 12211840 12979520 14348912 16466903 17936140 25959040 28697824 32933806 35872280 57395648 65867612 71744560 82334515 114791296 131735224 143489120 164669030 263470448 286978240 329338060 526940896 573956480 658676120 773944441 1053881792 1317352240 1547888882 2107763584 2634704480 3095777764 3869722205 5269408960 6191555528 7739444410 10538817920 12383111056 15478888820 24766222112 30957777640 49532444224 61915555280 99064888448 123831110560 247662221120 495324442240