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114332616160 = 2557733313921
BaseRepresentation
bin110101001111011000…
…0010100010111100000
3101221010000222200102021
41222132300110113200
53333123122204120
6124305040431224
711155161126310
oct1523660242740
9357100880367
10114332616160
1144540865824
121a1a9918514
13aa20cc90c9
14576879b440
152e92670aaa
hex1a9ec145e0

114332616160 has 96 divisors (see below), whose sum is σ = 308762338752. Its totient is φ = 39191592960.

The previous prime is 114332616157. The next prime is 114332616301. The reversal of 114332616160 is 61616233411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8206000 + ... + 8219920.

It is an arithmetic number, because the mean of its divisors is an integer number (3216274362).

Almost surely, 2114332616160 is an apocalyptic number.

114332616160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114332616160 is an abundant number, since it is smaller than the sum of its proper divisors (194429722592).

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

114332616160 is a wasteful number, since it uses less digits than its factorization.

114332616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21276 (or 21268 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

Adding to 114332616160 its reverse (61616233411), we get a palindrome (175948849571).

The spelling of 114332616160 in words is "one hundred fourteen billion, three hundred thirty-two million, six hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 7333 13921 14666 27842 29332 36665 51331 55684 58664 69605 73330 97447 102662 111368 117328 139210 146660 194894 205324 222736 234656 256655 278420 293320 389788 410648 445472 487235 513310 556840 586640 779576 821296 974470 1026620 1113680 1173280 1559152 1642592 1948940 2053240 2227360 3118304 3897880 4106480 7795760 8212960 15591520 102082693 204165386 408330772 510413465 714578851 816661544 1020826930 1429157702 1633323088 2041653860 2858315404 3266646176 3572894255 4083307720 5716630808 7145788510 8166615440 11433261616 14291577020 16333230880 22866523232 28583154040 57166308080 114332616160