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3814140465 = 3251929199773
BaseRepresentation
bin1110001101010111…
…0010101000110001
3100211210222102002200
43203111302220301
530302404443330
61430250133413
7163342442022
oct34325625061
910753872080
103814140465
111687a8a203
128a5421269
1348a278765
142827b2c49
15174cb0a60
hexe3572a31

3814140465 has 96 divisors (see below), whose sum is σ = 7244640000. Its totient is φ = 1848946176.

The previous prime is 3814140431. The next prime is 3814140481. The reversal of 3814140465 is 5640414183.

3814140465 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3814140465 - 224 = 3797363249 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4933819 + ... + 4934591.

It is an arithmetic number, because the mean of its divisors is an integer number (75465000).

Almost surely, 23814140465 is an apocalyptic number.

It is an amenable number.

3814140465 is a deficient number, since it is larger than the sum of its proper divisors (3430499535).

3814140465 is a wasteful number, since it uses less digits than its factorization.

3814140465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3814140465 is about 61758.7278447346. The cubic root of 3814140465 is about 1562.4239744556.

It can be divided in two parts, 38141 and 40465, that added together give a triangular number (78606 = T396).

The spelling of 3814140465 in words is "three billion, eight hundred fourteen million, one hundred forty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 19 29 45 57 87 95 145 171 199 261 285 435 551 597 773 855 995 1305 1653 1791 2319 2755 2985 3781 3865 4959 5771 6957 8265 8955 11343 11595 14687 17313 18905 22417 24795 28855 34029 34785 44061 51939 56715 67251 73435 86565 109649 112085 132183 153827 170145 201753 220305 259695 328947 336255 425923 461481 548245 660915 769135 986841 1008765 1277769 1384443 1644735 2129615 2307405 2922713 3833307 4460983 4934205 6388845 6922215 8768139 13382949 14613565 19166535 22304915 26304417 40148847 43840695 66914745 84758677 131522085 200744235 254276031 423793385 762828093 1271380155 3814140465