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3481265042320 = 245133347370233
BaseRepresentation
bin110010101010001011100…
…100001111001110010000
3110022210202100100112021011
4302222023210033032100
5424014112322323240
611223134315340304
7506340664422532
oct62521344171620
913283670315234
103481265042320
11112243a3a617a
12482838751694
131c33883bb5b0
14c06cbc55852
15608506e36ea
hex32a8b90f390

3481265042320 has 40 divisors (see below), whose sum is σ = 8716552089336. Its totient is φ = 1285390169088.

The previous prime is 3481265042257. The next prime is 3481265042363. The reversal of 3481265042320 is 232405621843.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73297981696 + 3407967060624 = 270736^2 + 1846068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1673684077 + ... + 1673686156.

Almost surely, 23481265042320 is an apocalyptic number.

It is an amenable number.

3481265042320 is an abundant number, since it is smaller than the sum of its proper divisors (5235287047016).

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

3481265042320 is a wasteful number, since it uses less digits than its factorization.

3481265042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347370259 (or 3347370253 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 3481265042320 in words is "three trillion, four hundred eighty-one billion, two hundred sixty-five million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3347370233 6694740466 13389480932 16736851165 26778961864 33473702330 43515813029 53557923728 66947404660 87031626058 133894809320 174063252116 217579065145 267789618640 348126504232 435158130290 696253008464 870316260580 1740632521160 3481265042320