Search a number
-
+
144641607720 = 23354639259829
BaseRepresentation
bin1000011010110101001…
…1111100100000101000
3111211100022200222112020
42012231103330200220
54332211222421340
6150240351344440
713310232244221
oct2065523744050
9454308628466
10144641607720
1156384464785
1224048222120
13108413b983c
147001c7a248
153b684829d0
hex21ad4fc828

144641607720 has 64 divisors (see below), whose sum is σ = 434020032000. Its totient is φ = 38562632448.

The previous prime is 144641607701. The next prime is 144641607769. The reversal of 144641607720 is 27706146441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426766 + ... + 686594.

It is an arithmetic number, because the mean of its divisors is an integer number (6781563000).

Almost surely, 2144641607720 is an apocalyptic number.

144641607720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144641607720 is an abundant number, since it is smaller than the sum of its proper divisors (289378424280).

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

144641607720 is a wasteful number, since it uses less digits than its factorization.

144641607720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264482 (or 264478 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 144641607720 in words is "one hundred forty-four billion, six hundred forty-one million, six hundred seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4639 9278 13917 18556 23195 27834 37112 46390 55668 69585 92780 111336 139170 185560 259829 278340 519658 556680 779487 1039316 1299145 1558974 2078632 2598290 3117948 3897435 5196580 6235896 7794870 10393160 15589740 31179480 1205346731 2410693462 3616040193 4821386924 6026733655 7232080386 9642773848 12053467310 14464160772 18080200965 24106934620 28928321544 36160401930 48213869240 72320803860 144641607720