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201044340024 = 233114317710037
BaseRepresentation
bin1011101100111100101…
…1010010110100111000
3201012221010101122200120
42323033023102310320
511243214322340044
6232205233533240
720345031460053
oct2731713226470
9635833348616
10201044340024
117829831a330
1232b69414220
1315c5c7b2458
149a32a91a9a
155369eb3519
hex2ecf2d2d38

201044340024 has 64 divisors (see below), whose sum is σ = 561054003840. Its totient is φ = 59505720960.

The previous prime is 201044339987. The next prime is 201044340037. The reversal of 201044340024 is 420043440102.

It is a happy number.

201044340024 is digitally balanced in base 3, 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 201044339976 and 201044340003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8843667 + ... + 8866370.

It is an arithmetic number, because the mean of its divisors is an integer number (8766468810).

Almost surely, 2201044340024 is an apocalyptic number.

201044340024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201044340024 is an abundant number, since it is smaller than the sum of its proper divisors (360009663816).

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

201044340024 is a wasteful number, since it uses less digits than its factorization.

201044340024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710100 (or 17710096 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 201044340024 its reverse (420043440102), we get a palindrome (621087780126).

The spelling of 201044340024 in words is "two hundred one billion, forty-four million, three hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 17710037 35420074 53130111 70840148 106260222 141680296 194810407 212520444 389620814 425040888 584431221 761531591 779241628 1168862442 1523063182 1558483256 2284594773 2337724884 3046126364 4569189546 4675449768 6092252728 8376847501 9138379092 16753695002 18276758184 25130542503 33507390004 50261085006 67014780008 100522170012 201044340024