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201344650542 = 232710736740693
BaseRepresentation
bin1011101110000100010…
…0111000110100101110
3201020201001111000021100
42323201010320310232
511244323212304132
6232255122343530
720355336201660
oct2734104706456
9636631430240
10201344650542
1178431896042
1233031ababa6
1315ca9a8b699
149a60906530
15538653437c
hex2ee1138d2e

201344650542 has 96 divisors (see below), whose sum is σ = 504610808832. Its totient is φ = 56832725952.

The previous prime is 201344650517. The next prime is 201344650547. The reversal of 201344650542 is 245056443102.

201344650542 is a `hidden beast` number, since 2 + 0 + 13 + 44 + 65 + 0 + 542 = 666.

201344650542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201344650497 and 201344650506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201344650547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4927548 + ... + 4968240.

It is an arithmetic number, because the mean of its divisors is an integer number (5256362592).

Almost surely, 2201344650542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201344650542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252305404416).

201344650542 is an abundant number, since it is smaller than the sum of its proper divisors (303266158290).

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

201344650542 is a wasteful number, since it uses less digits than its factorization.

201344650542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41182 (or 41179 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 201344650542 in words is "two hundred one billion, three hundred forty-four million, six hundred fifty thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 367 642 734 749 963 1101 1498 1926 2202 2247 2569 3303 4494 5138 6606 6741 7707 13482 15414 23121 39269 40693 46242 78538 81386 117807 122079 235614 244158 274883 284851 353421 366237 549766 569702 706842 732474 824649 854553 1649298 1709106 2473947 2563659 4354151 4947894 5127318 8708302 13062453 14934331 26124906 29868662 30479057 39187359 44802993 60958114 78374718 89605986 91437171 104540317 134408979 182874342 209080634 268817958 274311513 313620951 548623026 627241902 940862853 1597973417 1881725706 3195946834 4793920251 9587840502 11185813919 14381760753 22371627838 28763521506 33557441757 67114883514 100672325271 201344650542