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141205140 = 223351092399
BaseRepresentation
bin10000110101010…
…01111010010100
3100211200222001000
420122221322110
5242122031030
622002303300
73333136536
oct1032517224
9324628030
10141205140
117278556a
123b357b30
132333ca4b
1414a79856
15c5e3860
hex86a9e94

141205140 has 96 divisors (see below), whose sum is σ = 443520000. Its totient is φ = 37293696.

The previous prime is 141205133. The next prime is 141205151. The reversal of 141205140 is 41502141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57661 + ... + 60059.

It is an arithmetic number, because the mean of its divisors is an integer number (4620000).

Almost surely, 2141205140 is an apocalyptic number.

141205140 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 141205140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

141205140 is an abundant number, since it is smaller than the sum of its proper divisors (302314860).

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

141205140 is a wasteful number, since it uses less digits than its factorization.

141205140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 141205140 is about 11882.9768997503. The cubic root of 141205140 is about 520.7350797201.

Adding to 141205140 its reverse (41502141), we get a palindrome (182707281).

The spelling of 141205140 in words is "one hundred forty-one million, two hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2399 2943 3270 3924 4798 4905 5886 6540 7197 9596 9810 11772 11995 14394 14715 19620 21591 23990 28788 29430 35985 43182 47980 58860 64773 71970 86364 107955 129546 143940 215910 259092 261491 323865 431820 522982 647730 784473 1045964 1295460 1307455 1568946 2353419 2614910 3137892 3922365 4706838 5229820 7060257 7844730 9413676 11767095 14120514 15689460 23534190 28241028 35301285 47068380 70602570 141205140