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133113311440 = 24519233807589
BaseRepresentation
bin111101111111000101…
…0111111000011010000
3110201120220011212000221
41323332022333003100
54140104001431230
6141052412122424
712421446323044
oct1737612770320
9421526155027
10133113311440
11514a8aa309a
122196b466414
13c724bb0755
14662ab6a024
1536e133b27a
hex1efe2bf0d0

133113311440 has 80 divisors (see below), whose sum is σ = 339941635200. Its totient is φ = 48249755136.

The previous prime is 133113311407. The next prime is 133113311561. The reversal of 133113311440 is 44113311331.

133113311440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1868835 + ... + 1938754.

It is an arithmetic number, because the mean of its divisors is an integer number (4249270440).

Almost surely, 2133113311440 is an apocalyptic number.

133113311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133113311440 is an abundant number, since it is smaller than the sum of its proper divisors (206828323760).

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

133113311440 is a wasteful number, since it uses less digits than its factorization.

133113311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807644 (or 3807638 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 133113311440 its reverse (44113311331), we get a palindrome (177226622771).

The spelling of 133113311440 in words is "one hundred thirty-three billion, one hundred thirteen million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 6992 8740 17480 34960 3807589 7615178 15230356 19037945 30460712 38075890 60921424 72344191 76151780 87574547 144688382 152303560 175149094 289376764 304607120 350298188 361720955 437872735 578753528 700596376 723441910 875745470 1157507056 1401192752 1446883820 1663916393 1751490940 2893767640 3327832786 3502981880 5787535280 6655665572 7005963760 8319581965 13311331144 16639163930 26622662288 33278327860 66556655720 133113311440