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133000141240 = 23517937208739
BaseRepresentation
bin111101111011101101…
…1010001100110111000
3110201022000020012201001
41323313123101212320
54134341014004430
6141033250334344
712415603355551
oct1736733214670
9421260205631
10133000141240
11514501266aa
122193958a3b4
13c707608435
146619b0b328
1536d64343ca
hex1ef76d19b8

133000141240 has 64 divisors (see below), whose sum is σ = 317192954400. Its totient is φ = 50016964608.

The previous prime is 133000141199. The next prime is 133000141249. The reversal of 133000141240 is 42141000331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133000141249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532791 + ... + 741529.

Almost surely, 2133000141240 is an apocalyptic number.

133000141240 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 133000141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158596477200).

133000141240 is an abundant number, since it is smaller than the sum of its proper divisors (184192813160).

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

133000141240 is a wasteful number, since it uses less digits than its factorization.

133000141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209704 (or 209700 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 133000141240 its reverse (42141000331), we get a palindrome (175141141571).

It can be divided in two parts, 1330001 and 41240, that added together give a square (1371241 = 11712).

The spelling of 133000141240 in words is "one hundred thirty-three billion, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 937 1874 3748 4685 7496 9370 15929 18740 31858 37480 63716 79645 127432 159290 208739 318580 417478 637160 834956 1043695 1669912 2087390 3548563 4174780 7097126 8349560 14194252 17742815 28388504 35485630 70971260 141942520 195588443 391176886 782353772 977942215 1564707544 1955884430 3325003531 3911768860 6650007062 7823537720 13300014124 16625017655 26600028248 33250035310 66500070620 133000141240