Search a number
-
+
46144210541355 = 335949993598027
BaseRepresentation
bin10100111110111110010010…
…10001110001101100101011
320001101100021101001002212000
422133133021101301230223
522022011320344310410
6242050205131422043
712501544360661043
oct1237371121615453
9201340241032760
1046144210541355
1113780716967703
1252130828b4923
131c994c3916324
14b5756abb4723
155504b4388dc0
hex29f7c9471b2b

46144210541355 has 32 divisors (see below), whose sum is σ = 82035038400000. Its totient is φ = 24609979724256.

The previous prime is 46144210541347. The next prime is 46144210541413. The reversal of 46144210541355 is 55314501244164.

46144210541355 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 42 + 10 + 541 + 3 + 55 = 666.

It is not a de Polignac number, because 46144210541355 - 23 = 46144210541347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 46144210541355.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11025852 + ... + 14623878.

It is an arithmetic number, because the mean of its divisors is an integer number (2563594950000).

Almost surely, 246144210541355 is an apocalyptic number.

46144210541355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46144210541355 is a deficient number, since it is larger than the sum of its proper divisors (35890827858645).

46144210541355 is a wasteful number, since it uses less digits than its factorization.

46144210541355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693040 (or 3693034 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 46144210541355 in words is "forty-six trillion, one hundred forty-four billion, two hundred ten million, five hundred forty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 94999 284997 474995 854991 1424985 2564973 3598027 4274955 10794081 12824865 17990135 32382243 53970405 97146729 161911215 485733645 341808966973 1025426900919 1709044834865 3076280702757 5127134504595 9228842108271 15381403513785 46144210541355