Search a number
-
+
144106709700 = 223521889254291
BaseRepresentation
bin1000011000110101101…
…1011110001011000100
3111202222001012100101110
42012031123132023010
54330112304202300
6150111322525020
713261045551612
oct2061533361304
9452861170343
10144106709700
115612a5319a8
1223b19066770
1310787636235
146d90bdc6b2
153b36524550
hex218d6de2c4

144106709700 has 72 divisors (see below), whose sum is σ = 417171111840. Its totient is φ = 38407961600.

The previous prime is 144106709687. The next prime is 144106709713. The reversal of 144106709700 is 7907601441.

It is an interprime number because it is at equal distance from previous prime (144106709687) and next prime (144106709713).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439555 + ... + 693845.

It is an arithmetic number, because the mean of its divisors is an integer number (5794043220).

Almost surely, 2144106709700 is an apocalyptic number.

144106709700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144106709700 is an abundant number, since it is smaller than the sum of its proper divisors (273064402140).

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

144106709700 is a wasteful number, since it uses less digits than its factorization.

144106709700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256197 (or 256190 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 144106709700 in words is "one hundred forty-four billion, one hundred six million, seven hundred nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1889 3778 5667 7556 9445 11334 18890 22668 28335 37780 47225 56670 94450 113340 141675 188900 254291 283350 508582 566700 762873 1017164 1271455 1525746 2542910 3051492 3814365 5085820 6357275 7628730 12714550 15257460 19071825 25429100 38143650 76287300 480355699 960711398 1441067097 1921422796 2401778495 2882134194 4803556990 5764268388 7205335485 9607113980 12008892475 14410670970 24017784950 28821341940 36026677425 48035569900 72053354850 144106709700