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46541340125241 = 31341107272023637
BaseRepresentation
bin10101001010100010000000…
…00010111010100000111001
320002210022100000102020011220
422211101000002322200321
522100013131033001431
6242552444012542253
712542333536515003
oct1245210002724071
9202708300366156
1046541340125241
1113914087196985
125278034781989
131cc7aa26713a0
14b6c881a63373
1555a9a8c88b96
hex2a54400ba839

46541340125241 has 32 divisors (see below), whose sum is σ = 69098356430208. Its totient is φ = 27681125199360.

The previous prime is 46541340125153. The next prime is 46541340125309. The reversal of 46541340125241 is 14252104314564.

It is not a de Polignac number, because 46541340125241 - 210 = 46541340124217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 46541340125193 and 46541340125202.

It is not an unprimeable number, because it can be changed into a prime (46541340125341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135840726 + ... + 136182911.

It is an arithmetic number, because the mean of its divisors is an integer number (2159323638444).

Almost surely, 246541340125241 is an apocalyptic number.

46541340125241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

46541340125241 is a deficient number, since it is larger than the sum of its proper divisors (22557016304967).

46541340125241 is a wasteful number, since it uses less digits than its factorization.

46541340125241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272023801.

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 46541340125241 in words is "forty-six trillion, five hundred forty-one billion, three hundred forty million, one hundred twenty-five thousand, two hundred forty-one".

Divisors: 1 3 13 39 41 107 123 321 533 1391 1599 4173 4387 13161 57031 171093 272023637 816070911 3536307281 10608921843 11152969117 29106529159 33458907351 87319587477 144988598521 378384879067 434965795563 1135154637201 1193367695519 3580103086557 15513780041747 46541340125241