Search a number
-
+
6400342303110 = 2335713724718427
BaseRepresentation
bin101110100100011001000…
…1000010010000110000110
3211122212101212012201111000
41131020302020102012012
51314330400112144420
621340135431554130
71230260306641350
oct135106210220606
924585355181430
106400342303110
112048408412188
1287451982b946
1337571b88ab52
14181ac76180d0
15b174a949690
hex5d232212186

6400342303110 has 128 divisors (see below), whose sum is σ = 19648184048640. Its totient is φ = 1452256964352.

The previous prime is 6400342303099. The next prime is 6400342303139. The reversal of 6400342303110 is 113032430046.

6400342303110 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 342 + 3 + 0 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12100284 + ... + 12618143.

It is an arithmetic number, because the mean of its divisors is an integer number (153501437880).

Almost surely, 26400342303110 is an apocalyptic number.

6400342303110 is an abundant number, since it is smaller than the sum of its proper divisors (13247841745530).

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

6400342303110 is a wasteful number, since it uses less digits than its factorization.

6400342303110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24718587 (or 24718581 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 6400342303110 its reverse (113032430046), we get a palindrome (6513374733156).

The spelling of 6400342303110 in words is "six trillion, four hundred billion, three hundred forty-two million, three hundred three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 137 189 210 270 274 315 378 411 630 685 822 945 959 1233 1370 1890 1918 2055 2466 2877 3699 4110 4795 5754 6165 7398 8631 9590 12330 14385 17262 18495 25893 28770 36990 43155 51786 86310 129465 258930 24718427 49436854 74155281 123592135 148310562 173028989 222465843 247184270 346057978 370776405 444931686 519086967 667397529 741552810 865144945 1038173934 1112329215 1334795058 1557260901 1730289890 2224658430 2595434835 3114521802 3336987645 3386424499 4671782703 5190869670 6673975290 6772848998 7786304505 9343565406 10159273497 15572609010 16932122495 20318546994 23358913515 23704971493 30477820491 33864244990 46717827030 47409942986 50796367485 60955640982 71114914479 91433461473 101592734970 118524857465 142229828958 152389102455 182866922946 213344743437 237049714930 304778204910 355574572395 426689486874 457167307365 640034230311 711149144790 914334614730 1066723717185 1280068460622 2133447434370 3200171151555 6400342303110