Search a number
-
+
6300143456464 = 24111337353210823
BaseRepresentation
bin101101110101101110111…
…0100000001000011010000
3211022021202211101220220201
41123223131310001003100
51311210143211101324
621222125042544544
71220112266541124
oct133533564010320
924267684356821
106300143456464
11200996a811710
12859015368154
13369140b09090
1417acdddd5584
15add34032444
hex5baddd010d0

6300143456464 has 160 divisors (see below), whose sum is σ = 14769911165184. Its totient is φ = 2564674928640.

The previous prime is 6300143456417. The next prime is 6300143456513. The reversal of 6300143456464 is 4646543410036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29778157 + ... + 29988979.

Almost surely, 26300143456464 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 6300143456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384955582592).

6300143456464 is an abundant number, since it is smaller than the sum of its proper divisors (8469767708720).

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

6300143456464 is a wasteful number, since it uses less digits than its factorization.

6300143456464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211245 (or 211239 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 46.

The spelling of 6300143456464 in words is "six trillion, three hundred billion, one hundred forty-three million, four hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 353 407 481 572 592 706 814 962 1144 1412 1628 1924 2288 2824 3256 3848 3883 4589 5291 5648 6512 7696 7766 9178 10582 13061 15532 18356 21164 26122 31064 36712 42328 50479 52244 62128 73424 84656 100958 104488 143671 169793 201916 208976 210823 287342 339586 403832 421646 574684 679172 807664 843292 1149368 1358344 1686584 1867723 2298736 2319053 2716688 2740699 3373168 3735446 4638106 5481398 7470892 7800451 9276212 10962796 14941784 15600902 18552424 21925592 29883568 30147689 31201804 37104848 43851184 60295378 62403608 74420519 85804961 101405863 120590756 124807216 148841038 171609922 202811726 241181512 297682076 343219844 405623452 482363024 595364152 686439688 811246904 818625709 967466747 1115464493 1190728304 1372879376 1622493808 1637251418 1934933494 2230928986 2753559203 3274502836 3869866988 4461857972 5507118406 6549005672 7739733976 8923715944 10642134217 11014236812 13098011344 15479467952 17847431888 21284268434 22028473624 30289151233 35796269639 42568536868 44056947248 60578302466 71592539278 85137073736 121156604932 143185078556 170274147472 242313209864 286370157112 393758966029 484626419728 572740314224 787517932058 1575035864116 3150071728232 6300143456464