Search a number
-
+
1464357706740 = 2233523117903197
BaseRepresentation
bin10101010011110010100…
…001010101101111110100
312011222202121101001002000
4111103302201111233310
5142443001033103430
63040414443415300
7210540102064065
oct25236241255764
95158677331060
101464357706740
11515037827985
121b7976524530
13a811c109756
1450c37b2856c
1528158244e60
hex154f2855bf4

1464357706740 has 96 divisors (see below), whose sum is σ = 4753856943360. Its totient is φ = 373517324928.

The previous prime is 1464357706733. The next prime is 1464357706741. The reversal of 1464357706740 is 476077534641.

It is a happy number.

1464357706740 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 3 + 577 + 0 + 67 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464357706741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58939179 + ... + 58964018.

It is an arithmetic number, because the mean of its divisors is an integer number (49519343160).

Almost surely, 21464357706740 is an apocalyptic number.

1464357706740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1464357706740 is an abundant number, since it is smaller than the sum of its proper divisors (3289499236620).

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

1464357706740 is a wasteful number, since it uses less digits than its factorization.

1464357706740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117903238 (or 117903230 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 1464357706740 in words is "one trillion, four hundred sixty-four billion, three hundred fifty-seven million, seven hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 117903197 235806394 353709591 471612788 589515985 707419182 1061128773 1179031970 1414838364 1768547955 2122257546 2358063940 2711773531 3183386319 3537095910 4244515092 5305643865 5423547062 6366772638 7074191820 8135320593 10611287730 10847094124 12733545276 13558867655 15916931595 16270641186 21222575460 24405961779 27117735310 31833863190 32541282372 40676602965 48811923558 54235470620 63667726380 73217885337 81353205930 97623847116 122029808895 146435770674 162706411860 244059617790 292871541348 366089426685 488119235580 732178853370 1464357706740