Search a number
-
+
3114970381120 = 265133124154547
BaseRepresentation
bin101101010101000010101…
…100111111101101000000
3102000210021122022202220211
4231111002230333231000
5402013424404143440
610342555253443504
7441022604241433
oct55250254775500
912023248282824
103114970381120
11aa1062633784
12423851340594
131979819b8010
14aaaa026b81a
1556062d91eea
hex2d542b3fb40

3114970381120 has 112 divisors (see below), whose sum is σ = 8245782978048. Its totient is φ = 1113041479680.

The previous prime is 3114970381109. The next prime is 3114970381153. The reversal of 3114970381120 is 211830794113.

It is a happy number.

3114970381120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11948314 + ... + 12206233.

It is an arithmetic number, because the mean of its divisors is an integer number (73623062304).

Almost surely, 23114970381120 is an apocalyptic number.

It is an amenable number.

3114970381120 is an abundant number, since it is smaller than the sum of its proper divisors (5130812596928).

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

3114970381120 is a wasteful number, since it uses less digits than its factorization.

3114970381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24154608 (or 24154598 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 3114970381120 in words is "three trillion, one hundred fourteen billion, nine hundred seventy million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 32 40 52 62 64 65 80 104 124 130 155 160 208 248 260 310 320 403 416 496 520 620 806 832 992 1040 1240 1612 1984 2015 2080 2480 3224 4030 4160 4960 6448 8060 9920 12896 16120 25792 32240 64480 128960 24154547 48309094 96618188 120772735 193236376 241545470 314009111 386472752 483090940 628018222 748790957 772945504 966181880 1256036444 1497581914 1545891008 1570045555 1932363760 2512072888 2995163828 3140091110 3743954785 3864727520 5024145776 5990327656 6280182220 7487909570 7729455040 9734282441 10048291552 11980655312 12560364440 14975819140 19468564882 20096583104 23961310624 25120728880 29951638280 38937129764 47922621248 48671412205 50241457760 59903276560 77874259528 97342824410 100482915520 119806553120 155748519056 194685648820 239613106240 311497038112 389371297640 622994076224 778742595280 1557485190560 3114970381120