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144243023130 = 2335432288931
BaseRepresentation
bin1000011001010110001…
…1011101110100011010
3111210022112200210021000
42012111203131310122
54330402203220010
6150133032325430
713264322316063
oct2062543356432
9453275623230
10144243023130
115619a476228
1223b56843876
13107a995257b
146da4d6356a
153b4349d7c0
hex21958ddd1a

144243023130 has 96 divisors (see below), whose sum is σ = 393802758720. Its totient is φ = 37570145760.

The previous prime is 144243023117. The next prime is 144243023131. The reversal of 144243023130 is 31320342441.

144243023130 is a `hidden beast` number, since 1 + 4 + 42 + 4 + 302 + 313 + 0 = 666.

144243023130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144243023094 and 144243023103.

It is not an unprimeable number, because it can be changed into a prime (144243023131) 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, 354765 + ... + 643695.

It is an arithmetic number, because the mean of its divisors is an integer number (4102112070).

Almost surely, 2144243023130 is an apocalyptic number.

144243023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144243023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196901379360).

144243023130 is an abundant number, since it is smaller than the sum of its proper divisors (249559735590).

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

144243023130 is a wasteful number, since it uses less digits than its factorization.

144243023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289033 (or 288984 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 144243023130 its reverse (31320342441), we get a palindrome (175563365571).

The spelling of 144243023130 in words is "one hundred forty-four billion, two hundred forty-three million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1849 1935 2322 3698 3870 5547 5805 9245 11094 11610 16641 18490 27735 33282 49923 55470 83205 99846 166410 249615 288931 499230 577862 866793 1444655 1733586 2600379 2889310 4333965 5200758 7801137 8667930 12424033 13001895 15602274 24848066 26003790 37272099 39005685 62120165 74544198 78011370 111816297 124240330 186360495 223632594 335448891 372720990 534233419 559081485 670897782 1068466838 1118162970 1602700257 1677244455 2671167095 3205400514 3354488910 4808100771 5342334190 8013501285 9616201542 14424302313 16027002570 24040503855 28848604626 48081007710 72121511565 144243023130