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200144133222040 = 23572591275878223
BaseRepresentation
bin101101100000011110101111…
…111101101110111010011000
3222020122120222202201101001101
4231200132233331232322120
5202213130141101101130
61545400540120401144
760104636125431040
oct5540365775567230
9866576882641041
10200144133222040
1158854717503377
121a5453353161b4
13878a684248797
14375d056164720
15182131ca9e1ca
hexb607aff6ee98

200144133222040 has 64 divisors (see below), whose sum is σ = 514854976757760. Its totient is φ = 68594361118080.

The previous prime is 200144133222029. The next prime is 200144133222067. The reversal of 200144133222040 is 40222331441002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137213632 + ... + 138664591.

It is an arithmetic number, because the mean of its divisors is an integer number (8044609011840).

Almost surely, 2200144133222040 is an apocalyptic number.

200144133222040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200144133222040 is an abundant number, since it is smaller than the sum of its proper divisors (314710843535720).

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

200144133222040 is a wasteful number, since it uses less digits than its factorization.

200144133222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275880832 (or 275880828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 200144133222040 its reverse (40222331441002), we get a palindrome (240366464663042).

The spelling of 200144133222040 in words is "two hundred trillion, one hundred forty-four billion, one hundred thirty-three million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2591 5182 10364 12955 18137 20728 25910 36274 51820 72548 90685 103640 145096 181370 362740 725480 275878223 551756446 1103512892 1379391115 1931147561 2207025784 2758782230 3862295122 5517564460 7724590244 9655737805 11035128920 15449180488 19311475610 38622951220 77245902440 714800475793 1429600951586 2859201903172 3574002378965 5003603330551 5718403806344 7148004757930 10007206661102 14296009515860 20014413322204 25018016652755 28592019031720 40028826644408 50036033305510 100072066611020 200144133222040