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41430652146 = 23313232566001
BaseRepresentation
bin100110100101011101…
…011001010011110010
310221221101002012022000
4212211131121103302
51134322221332041
631011042354430
72664455506212
oct464535312362
9127841065260
1041430652146
1116630583194
12804305ba16
133ba35a3ab0
1420105bc242
1511273d3bb6
hex9a57594f2

41430652146 has 64 divisors (see below), whose sum is σ = 103461200640. Its totient is φ = 12193632000.

The previous prime is 41430652097. The next prime is 41430652147. The reversal of 41430652146 is 64125603414.

41430652146 is a `hidden beast` number, since 4 + 1 + 430 + 6 + 5 + 214 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41430652146.

It is not an unprimeable number, because it can be changed into a prime (41430652147) 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 31 ways as a sum of consecutive naturals, for example, 1266855 + ... + 1299146.

It is an arithmetic number, because the mean of its divisors is an integer number (1616581260).

Almost surely, 241430652146 is an apocalyptic number.

41430652146 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

41430652146 is an abundant number, since it is smaller than the sum of its proper divisors (62030548494).

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

41430652146 is a wasteful number, since it uses less digits than its factorization.

41430652146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566048 (or 2566042 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 41430652146 in words is "forty-one billion, four hundred thirty million, six hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 8073 16146 2566001 5132002 7698003 15396006 23094009 33358013 46188018 59018023 66716026 69282027 100074039 118036046 138564054 177054069 200148078 300222117 354108138 531162207 600444234 767234299 900666351 1062324414 1534468598 1593486621 1801332702 2301702897 3186973242 4603405794 6905108691 13810217382 20715326073 41430652146