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4145734153 = 1123371074139
BaseRepresentation
bin1111011100011010…
…1110001000001001
3101200220221010010101
43313012232020021
531442301443103
61523213245401
7204510105331
oct36706561011
911626833111
104145734153
111838182480
12978493861
13510b88a42
142b484c0c1
15193e60a1d
hexf71ae209

4145734153 has 32 divisors (see below), whose sum is σ = 4893281280. Its totient is φ = 3473933760.

The previous prime is 4145734139. The next prime is 4145734157. The reversal of 4145734153 is 3514375414.

It is a happy number.

4145734153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

4145734153 is a nontrivial binomial coefficient, being equal to C(91058, 2).

It is a de Polignac number, because none of the positive numbers 2k-4145734153 is a prime.

It is a super-2 number, since 2×41457341532 = 34374223334701254818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (4145734157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999558 + ... + 1003696.

It is an arithmetic number, because the mean of its divisors is an integer number (152915040).

Almost surely, 24145734153 is an apocalyptic number.

4145734153 is the 91057-th triangular number and also the 45529-th hexagonal number.

4145734153 is the 34417-th centered heptagonal number and also the 30353-rd centered nonagonal number.

It is an amenable number.

4145734153 is a deficient number, since it is larger than the sum of its proper divisors (747547127).

4145734153 is a wasteful number, since it uses less digits than its factorization.

4145734153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317.

The product of its digits is 100800, while the sum is 37.

The square root of 4145734153 is about 64387.3757269234. The cubic root of 4145734153 is about 1606.4497665557.

The spelling of 4145734153 in words is "four billion, one hundred forty-five million, seven hundred thirty-four thousand, one hundred fifty-three".

Divisors: 1 11 23 37 107 253 407 851 1177 2461 3959 4139 9361 27071 43549 45529 91057 95197 153143 442873 1001627 1047167 1684573 3522289 4871603 10186079 16386301 38745179 112046869 180249311 376884923 4145734153