Search a number
-
+
244130330100132 = 223274733162272363
BaseRepresentation
bin110111100000100100000101…
…100110101100000110100100
31012000101122001110022211200200
4313200210011212230012210
5223444312404001201012
62223115531514110500
7102264556110065040
oct6740440546540644
91160348043284620
10244130330100132
1170873100971243
122346a11571b430
13a62b511a330c8
14443dd846b5020
151d355cba823dc
hexde09059ac1a4

244130330100132 has 144 divisors (see below), whose sum is σ = 722447101888512. Its totient is φ = 68061200771520.

The previous prime is 244130330100119. The next prime is 244130330100143. The reversal of 244130330100132 is 231001033031442.

It is a happy number.

244130330100132 is a `hidden beast` number, since 2 + 4 + 41 + 303 + 301 + 0 + 0 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 244130330100096 and 244130330100105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27215818 + ... + 35056545.

Almost surely, 2244130330100132 is an apocalyptic number.

It is an amenable number.

244130330100132 is an abundant number, since it is smaller than the sum of its proper divisors (478316771788380).

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

244130330100132 is a wasteful number, since it uses less digits than its factorization.

244130330100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62272758 (or 62272753 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 244130330100132 its reverse (231001033031442), we get a palindrome (475131363131574).

The spelling of 244130330100132 in words is "two hundred forty-four trillion, one hundred thirty billion, three hundred thirty million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 331 423 564 658 662 846 987 993 1316 1324 1692 1974 1986 2317 2961 2979 3948 3972 4634 5922 5958 6951 9268 11844 11916 13902 15557 20853 27804 31114 41706 46671 62228 83412 93342 108899 140013 186684 217798 280026 326697 435596 560052 653394 980091 1306788 1960182 3920364 62272363 124544726 186817089 249089452 373634178 435906541 560451267 747268356 871813082 1120902534 1307719623 1743626164 2241805068 2615439246 2926801061 3923158869 5230878492 5853602122 7846317738 8780403183 11707204244 15692635476 17560806366 20487607427 20612152153 26341209549 35121612732 40975214854 41224304306 52682419098 61462822281 61836456459 81950429708 82448608612 105364838196 122925644562 123672912918 144285065071 184388466843 185509369377 245851289124 247345825836 288570130142 368776933686 371018738754 432855195213 577140260284 737553867372 742037477508 865710390426 968771151191 1298565585639 1731420780852 1937542302382 2597131171278 2906313453573 3875084604764 5194262342556 5812626907146 6781398058337 8718940360719 11625253814292 13562796116674 17437880721438 20344194175011 27125592233348 34875761442876 40688388350022 61032582525033 81376776700044 122065165050066 244130330100132