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144100324333420 = 225721311310857483
BaseRepresentation
bin100000110000111011111000…
…101001001101011101101100
3200220012212010100212102120221
4200300323320221031131230
5122341414431012132140
61230250435231421124
742231622241045200
oct4060737051153554
9626185110772527
10144100324333420
1141a07671442464
12141b37370847a4
1362537aa286320
1427826c8796b00
15119d5a7dea14a
hex830ef8a4d76c

144100324333420 has 72 divisors (see below), whose sum is σ = 379094699433744. Its totient is φ = 45605377367424.

The previous prime is 144100324333387. The next prime is 144100324333439. The reversal of 144100324333420 is 24333423001441.

144100324333420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5655416002 + ... + 5655441481.

It is an arithmetic number, because the mean of its divisors is an integer number (5265204158802).

Almost surely, 2144100324333420 is an apocalyptic number.

144100324333420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144100324333420 is an abundant number, since it is smaller than the sum of its proper divisors (234994375100324).

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

144100324333420 is a wasteful number, since it uses less digits than its factorization.

144100324333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310857519 (or 11310857510 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 144100324333420 its reverse (24333423001441), we get a palindrome (168433747334861).

The spelling of 144100324333420 in words is "one hundred forty-four trillion, one hundred billion, three hundred twenty-four million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 11310857483 22621714966 45243429932 56554287415 79176002381 113108574830 147041147279 158352004762 226217149660 294082294558 316704009524 395880011905 554232016667 588164589116 735205736395 791760023810 1029288030953 1108464033334 1470411472790 1583520047620 2058576061906 2216928066668 2771160083335 2940822945580 4117152123812 5146440154765 5542320166670 7205016216671 10292880309530 11084640333340 14410032433342 20585760619060 28820064866684 36025081083355 72050162166710 144100324333420