Search a number
-
+
95023303042240 = 2653712776284743
BaseRepresentation
bin10101100110110001010110…
…001110010010010011000000
3110110110010202100222121021001
4111212301112032102103000
544423330211034322430
6534033034111141344
726005131014026546
oct2546612616222300
9413403670877231
1095023303042240
112830617a351211
12a7a819bb14854
134103874b65591
14196721c2bdd96
15aebb92cbd3ca
hex566c563924c0

95023303042240 has 112 divisors (see below), whose sum is σ = 232571778403392. Its totient is φ = 36953076289536.

The previous prime is 95023303042231. The next prime is 95023303042247. The reversal of 95023303042240 is 4224030332059.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 95023303042240.

It is not an unprimeable number, because it can be changed into a prime (95023303042247) 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, 11977309 + ... + 18262051.

Almost surely, 295023303042240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95023303042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116285889201696).

95023303042240 is an abundant number, since it is smaller than the sum of its proper divisors (137548475361152).

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

95023303042240 is a wasteful number, since it uses less digits than its factorization.

95023303042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6286074 (or 6286064 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 95023303042240 its reverse (4224030332059), we get a palindrome (99247333374299).

The spelling of 95023303042240 in words is "ninety-five trillion, twenty-three billion, three hundred three million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1277 1480 2368 2554 2960 5108 5920 6385 10216 11840 12770 20432 25540 40864 47249 51080 81728 94498 102160 188996 204320 236245 377992 408640 472490 755984 944980 1511968 1889960 3023936 3779920 6284743 7559840 12569486 15119680 25138972 31423715 50277944 62847430 100555888 125694860 201111776 232535491 251389720 402223552 465070982 502779440 930141964 1005558880 1162677455 1860283928 2011117760 2325354910 3720567856 4650709820 7441135712 8025616811 9301419640 14882271424 16051233622 18602839280 32102467244 37205678560 40128084055 64204934488 74411357120 80256168110 128409868976 160512336220 256819737952 296947822007 321024672440 513639475904 593895644014 642049344880 1187791288028 1284098689760 1484739110035 2375582576056 2568197379520 2969478220070 4751165152112 5938956440140 9502330304224 11877912880280 19004660608448 23755825760560 47511651521120 95023303042240