Search a number
-
+
133155320440 = 235191301134669
BaseRepresentation
bin111110000000010101…
…1001111001001111000
3110201200211020010112211
41330000223033021320
54140200230223230
6141100512344504
712422466356212
oct1740053171170
9421624203484
10133155320440
115151a78607a
1221981545134
13c7307cb84c
1466325835b2
1536e4d8842a
hex1f00acf278

133155320440 has 64 divisors (see below), whose sum is σ = 315612612000. Its totient is φ = 50419699200.

The previous prime is 133155320399. The next prime is 133155320477. The reversal of 133155320440 is 44023551331.

It is a super-3 number, since 3×1331553204403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921426 + ... + 1056094.

Almost surely, 2133155320440 is an apocalyptic number.

133155320440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133155320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157806306000).

133155320440 is an abundant number, since it is smaller than the sum of its proper divisors (182457291560).

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

133155320440 is a wasteful number, since it uses less digits than its factorization.

133155320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136000 (or 135996 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 133155320440 its reverse (44023551331), we get a palindrome (177178871771).

The spelling of 133155320440 in words is "one hundred thirty-three billion, one hundred fifty-five million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1301 2602 5204 6505 10408 13010 24719 26020 49438 52040 98876 123595 134669 197752 247190 269338 494380 538676 673345 988760 1077352 1346690 2558711 2693380 5117422 5386760 10234844 12793555 20469688 25587110 51174220 102348440 175204369 350408738 700817476 876021845 1401634952 1752043690 3328883011 3504087380 6657766022 7008174760 13315532044 16644415055 26631064088 33288830110 66577660220 133155320440