Search a number
-
+
331277814398568 = 2334114919139118057
BaseRepresentation
bin100101101010010111010000…
…0011100101111111001101000
31121102221211221110212110210110
41023110232200130233321220
5321410123430441223233
63132322532120414320
7126531014031304152
oct11324564034577150
91542854843773713
10331277814398568
119661214a918a74
12311a3a399173a0
13112b0496503b8b
145bb3d08ab5ad2
1528474699bb663
hex12d4ba072fe68

331277814398568 has 128 divisors (see below), whose sum is σ = 854140185360000. Its totient is φ = 107003087278080.

The previous prime is 331277814398549. The next prime is 331277814398579. The reversal of 331277814398568 is 865893418772133.

It is a self number, because there is not a number n which added to its sum of digits gives 331277814398568.

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, 2806024596 + ... + 2806142652.

It is an arithmetic number, because the mean of its divisors is an integer number (6672970198125).

Almost surely, 2331277814398568 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 331277814398568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427070092680000).

331277814398568 is an abundant number, since it is smaller than the sum of its proper divisors (522862370961432).

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

331277814398568 is a wasteful number, since it uses less digits than its factorization.

331277814398568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137395 (or 137391 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 331277814398568 in words is "three hundred thirty-one trillion, two hundred seventy-seven billion, eight hundred fourteen million, three hundred ninety-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 149 164 246 298 328 447 492 596 894 984 1192 1788 3576 6109 12218 18327 19139 24436 36654 38278 48872 57417 73308 76556 114834 118057 146616 153112 229668 236114 354171 459336 472228 708342 784699 944456 1416684 1569398 2354097 2833368 2851711 3138796 4708194 4840337 5703422 6277592 8555133 9416388 9680674 11406844 14521011 17110266 17590493 18832776 19361348 22813688 29042022 34220532 35180986 38722696 52771479 58084044 68441064 70361972 105542958 116168088 116920151 140723944 211085916 233840302 350760453 422171832 467680604 701520906 721210213 935361208 1403041812 1442420426 2163630639 2259492923 2806083624 2884840852 4327261278 4518985846 5769681704 6778478769 8654522556 9037971692 13556957538 17309045112 18075943384 27113915076 54227830152 92639209843 185278419686 277917629529 336664445527 370556839372 555835259058 673328891054 741113678744 1009993336581 1111670518116 1346657782108 2019986673162 2223341036232 2693315564216 4039973346324 8079946692648 13803242266607 27606484533214 41409726799821 55212969066428 82819453599642 110425938132856 165638907199284 331277814398568