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42200323334244 = 223241347118169767
BaseRepresentation
bin10011001100001100001110…
…10010000010000001100100
312112102022102002110121222100
421212012013102002001210
521012402230233143434
6225430321053332100
711613605231562165
oct1146060722020144
9175368362417870
1042200323334244
11124a00693a8939
124896856a97030
131a71620128a2a
14a5c713d7576c
154d2ad973b699
hex266187482064

42200323334244 has 144 divisors (see below), whose sum is σ = 109684100163456. Its totient is φ = 13672349990400.

The previous prime is 42200323334233. The next prime is 42200323334303. The reversal of 42200323334244 is 44243332300224.

42200323334244 is a `hidden beast` number, since 4 + 2 + 200 + 3 + 23 + 3 + 3 + 424 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42200323334199 and 42200323334208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604840249 + ... + 604910015.

It is an arithmetic number, because the mean of its divisors is an integer number (761695140024).

Almost surely, 242200323334244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42200323334244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54842050081728).

42200323334244 is an abundant number, since it is smaller than the sum of its proper divisors (67483776829212).

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

42200323334244 is a wasteful number, since it uses less digits than its factorization.

42200323334244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71346 (or 71341 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 42200323334244 its reverse (44243332300224), we get a palindrome (86443655634468).

The spelling of 42200323334244 in words is "forty-two trillion, two hundred billion, three hundred twenty-three million, three hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 347 369 492 694 738 1041 1181 1388 1476 2082 2362 3123 3543 4164 4724 6246 7086 10629 12492 14172 14227 21258 28454 42516 42681 48421 56908 69767 85362 96842 128043 139534 145263 170724 193684 209301 256086 279068 290526 409807 418602 435789 512172 581052 627903 819614 837204 871578 1229421 1255806 1639228 1743156 2458842 2511612 2860447 3688263 4917684 5720894 7376526 8581341 11441788 14753052 16802087 17162682 24209149 25744023 33604174 34325364 48418298 50406261 51488046 67208348 72627447 82394827 96836596 100812522 102976092 145254894 151218783 164789654 201625044 217882341 247184481 290509788 302437566 329579308 435764682 494368962 604875132 741553443 871529364 988737924 992575109 1483106886 1985150218 2966213772 2977725327 3378187907 3970300436 5955450654 6756375814 8933175981 10134563721 11910901308 13512751628 17866351962 20269127442 28591004969 30403691163 35732703924 40538254884 57182009938 60807382326 85773014907 114364019876 121614764652 171546029814 257319044721 343092059628 514638089442 1029276178884 1172231203729 2344462407458 3516693611187 4688924814916 7033387222374 10550080833561 14066774444748 21100161667122 42200323334244