Search a number
-
+
153453503340 = 223254611849283
BaseRepresentation
bin1000111011101010001…
…0101010001101101100
3112200002102211122211200
42032322202222031230
510003233044101330
6154255013045500
714041502154054
oct2167242521554
9480072748750
10153453503340
115a096558345
12258a7326890
1311616bb9167
1475da2c8564
153ed1da4a60
hex23ba8aa36c

153453503340 has 72 divisors (see below), whose sum is σ = 466485587568. Its totient is φ = 40832146560.

The previous prime is 153453503323. The next prime is 153453503351. The reversal of 153453503340 is 43305354351.

153453503340 is a `hidden beast` number, since 1 + 53 + 4 + 535 + 0 + 33 + 40 = 666.

153453503340 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 153453503295 and 153453503304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841662 + ... + 1007621.

It is an arithmetic number, because the mean of its divisors is an integer number (6478966494).

Almost surely, 2153453503340 is an apocalyptic number.

153453503340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153453503340 is an abundant number, since it is smaller than the sum of its proper divisors (313032084228).

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

153453503340 is a wasteful number, since it uses less digits than its factorization.

153453503340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849759 (or 1849754 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

Adding to 153453503340 its reverse (43305354351), we get a palindrome (196758857691).

The spelling of 153453503340 in words is "one hundred fifty-three billion, four hundred fifty-three million, five hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 461 922 1383 1844 2305 2766 4149 4610 5532 6915 8298 9220 13830 16596 20745 27660 41490 82980 1849283 3698566 5547849 7397132 9246415 11095698 16643547 18492830 22191396 27739245 33287094 36985660 55478490 66574188 83217735 110956980 166435470 332870940 852519463 1705038926 2557558389 3410077852 4262597315 5115116778 7672675167 8525194630 10230233556 12787791945 15345350334 17050389260 25575583890 30690700668 38363375835 51151167780 76726751670 153453503340