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34401612140 = 22571201204601
BaseRepresentation
bin100000000010011111…
…101111000101101100
310021210111200222002222
4200002133233011230
51030423303042030
623445345534512
72325334610210
oct400237570554
9107714628088
1034401612140
11136538a4415
126801044438
133323270b1c
141944c62940
15d652803e5
hex8027ef16c

34401612140 has 48 divisors (see below), whose sum is σ = 82633018944. Its totient is φ = 11784960000.

The previous prime is 34401612109. The next prime is 34401612143. The reversal of 34401612140 is 4121610443.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34401612143) 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 15 ways as a sum of consecutive naturals, for example, 65840 + ... + 270440.

It is an arithmetic number, because the mean of its divisors is an integer number (1721521228).

Almost surely, 234401612140 is an apocalyptic number.

It is an amenable number.

34401612140 is an abundant number, since it is smaller than the sum of its proper divisors (48231406804).

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

34401612140 is a wasteful number, since it uses less digits than its factorization.

34401612140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205818 (or 205816 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 34401612140 in words is "thirty-four billion, four hundred one million, six hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1201 2402 4804 6005 8407 12010 16814 24020 33628 42035 84070 168140 204601 409202 818404 1023005 1432207 2046010 2864414 4092020 5728828 7161035 14322070 28644140 245725801 491451602 982903204 1228629005 1720080607 2457258010 3440161214 4914516020 6880322428 8600403035 17200806070 34401612140