Search a number
-
+
141135156660 = 223519292147209
BaseRepresentation
bin1000001101110001001…
…1111001010110110100
3111111021221200210221110
42003130103321112310
54303021100003120
6144500412115020
713124314015641
oct2033423712664
9444257623843
10141135156660
1154945131143
1223429a65a70
1310402b01b24
146b8c2bcdc8
153a106ee2e0
hex20dc4f95b4

141135156660 has 144 divisors (see below), whose sum is σ = 430818897600. Its totient is φ = 34425474048.

The previous prime is 141135156649. The next prime is 141135156667. The reversal of 141135156660 is 66651531141.

141135156660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141135156667) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 885136 + ... + 1032344.

It is an arithmetic number, because the mean of its divisors is an integer number (2991797900).

Almost surely, 2141135156660 is an apocalyptic number.

141135156660 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 141135156660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215409448800).

141135156660 is an abundant number, since it is smaller than the sum of its proper divisors (289683740940).

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

141135156660 is a wasteful number, since it uses less digits than its factorization.

141135156660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147298 (or 147267 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 141135156660 in words is "one hundred forty-one billion, one hundred thirty-five million, one hundred fifty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 841 870 1102 1140 1653 1682 1740 2204 2523 2755 3306 3364 4205 5046 5510 6612 8265 8410 10092 11020 12615 15979 16530 16820 25230 31958 33060 47937 50460 63916 79895 95874 147209 159790 191748 239685 294418 319580 441627 479370 588836 736045 883254 958740 1472090 1766508 2208135 2796971 2944180 4269061 4416270 5593942 8390913 8538122 8832540 11187884 12807183 13984855 16781826 17076244 21345305 25614366 27969710 33563652 41954565 42690610 51228732 55939420 64035915 81112159 83909130 85381220 123802769 128071830 162224318 167818260 243336477 247605538 256143660 324448636 371408307 405560795 486672954 495211076 619013845 742816614 811121590 973345908 1216682385 1238027690 1485633228 1622243180 1857041535 2352252611 2433364770 2476055380 3714083070 4704505222 4866729540 7056757833 7428166140 9409010444 11761263055 14113515666 23522526110 28227031332 35283789165 47045052220 70567578330 141135156660