Search a number
-
+
100144342242412 = 221343509587149899
BaseRepresentation
bin10110110001010010101011…
…111100100001010001101100
3111010120201001101201011210221
4112301102223330201101230
5101111231103103224122
6552553401541541124
730044122105022356
oct2661225374412154
9433521041634727
10100144342242412
11299aaa82490306
12b2947897147a4
1343b57564c7840
141aa30250020d6
15b89eb681b6c7
hex5b14abf2146c

100144342242412 has 96 divisors (see below), whose sum is σ = 193833075744000. Its totient is φ = 44979818510592.

The previous prime is 100144342242403. The next prime is 100144342242431. The reversal of 100144342242412 is 214242243441001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 668003839 + ... + 668153737.

It is an arithmetic number, because the mean of its divisors is an integer number (2019094539000).

Almost surely, 2100144342242412 is an apocalyptic number.

It is an amenable number.

100144342242412 is a deficient number, since it is larger than the sum of its proper divisors (93688733501588).

100144342242412 is a wasteful number, since it uses less digits than its factorization.

100144342242412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151055 (or 151053 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 100144342242412 its reverse (214242243441001), we get a palindrome (314386585683413).

The spelling of 100144342242412 in words is "one hundred trillion, one hundred forty-four billion, three hundred forty-two million, two hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 4 13 26 43 52 86 172 509 559 587 1018 1118 1174 2036 2236 2348 6617 7631 13234 15262 21887 25241 26468 30524 43774 50482 87548 100964 149899 284531 298783 299798 328133 569062 597566 599596 656266 1138124 1195132 1312532 1948687 3884179 3897374 6445657 7768358 7794748 12847669 12891314 15536716 25695338 25782628 51390676 76298591 83793541 87990713 152597182 167019697 167587082 175981426 305194364 334039394 335174164 351962852 668078788 991881683 1143879269 1983763366 2287758538 3280839413 3783600659 3967526732 4575517076 6561678826 7567201318 13123357652 15134402636 42650912369 44787272917 49186808567 85301824738 89574545834 98373617134 170603649476 179149091668 196747234268 582234547921 1164469095842 1925852735431 2328938191684 3851705470862 7703410941724 25036085560603 50072171121206 100144342242412