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4145076030 = 2353111094019
BaseRepresentation
bin1111011100010000…
…1101011100111110
3101200212200200100110
43313010031130332
531442114413110
61523151210450
7204501364524
oct36704153476
911625620313
104145076030
111837872a77
12978216a26
135109b8314
142b471a314
15193d80a20
hexf710d73e

4145076030 has 64 divisors (see below), whose sum is σ = 10280908800. Its totient is φ = 1068466560.

The previous prime is 4145076011. The next prime is 4145076037. The reversal of 4145076030 is 306705414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145076037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1029361 + ... + 1033379.

It is an arithmetic number, because the mean of its divisors is an integer number (160639200).

Almost surely, 24145076030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145076030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140454400).

4145076030 is an abundant number, since it is smaller than the sum of its proper divisors (6135832770).

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

4145076030 is a wasteful number, since it uses less digits than its factorization.

4145076030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 4145076030 is about 64382.2648716244. The cubic root of 4145076030 is about 1606.3647556786.

The spelling of 4145076030 in words is "four billion, one hundred forty-five million, seventy-six thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 1109 2218 3327 4019 5545 6654 8038 11090 12057 16635 20095 24114 33270 34379 40190 60285 68758 103137 120570 124589 171895 206274 249178 343790 373767 515685 622945 747534 1031370 1245890 1868835 3737670 4457071 8914142 13371213 22285355 26742426 44570710 66856065 133712130 138169201 276338402 414507603 690846005 829015206 1381692010 2072538015 4145076030