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44314562412 = 223237793531193
BaseRepresentation
bin101001010001010110…
…101000111101101100
311020101100200000110100
4221101112220331230
51211224011444122
632205142511100
73126104364651
oct512126507554
9136340600410
1044314562412
11178804626aa
128708a35490
134242c00183
142205605c28
151245695aac
hexa515a8f6c

44314562412 has 144 divisors (see below), whose sum is σ = 116929088640. Its totient is φ = 14138302464.

The previous prime is 44314562399. The next prime is 44314562419. The reversal of 44314562412 is 21426541344.

44314562412 is a `hidden beast` number, since 4 + 4 + 3 + 14 + 5 + 624 + 12 = 666.

44314562412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44314562419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37144888 + ... + 37146080.

It is an arithmetic number, because the mean of its divisors is an integer number (812007560).

Almost surely, 244314562412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44314562412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464544320).

44314562412 is an abundant number, since it is smaller than the sum of its proper divisors (72614526228).

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

44314562412 is a wasteful number, since it uses less digits than its factorization.

44314562412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1667 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 44314562412 in words is "forty-four billion, three hundred fourteen million, five hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 353 444 474 666 706 711 948 1059 1193 1332 1412 1422 2118 2386 2844 2923 3177 3579 4236 4772 5846 6354 7158 8769 10737 11692 12708 13061 14316 17538 21474 26122 26307 27887 35076 39183 42948 44141 52244 52614 55774 78366 83661 88282 94247 105228 111548 117549 132423 156732 167322 176564 188494 235098 250983 264846 282741 334644 376988 397269 421129 470196 501966 529692 565482 794538 842258 848223 1003932 1031819 1130964 1263387 1589076 1684516 1696446 2063638 2526774 3095457 3392892 3487139 3790161 4127276 5053548 6190914 6974278 7580322 9286371 10461417 12381828 13948556 15160644 15581773 18572742 20922834 31163546 31384251 33269191 37145484 41845668 46745319 62327092 62768502 66538382 93490638 99807573 125537004 133076764 140235957 186981276 199615146 280471914 299422719 399230292 560943828 598845438 1197690876 1230960067 2461920134 3692880201 4923840268 7385760402 11078640603 14771520804 22157281206 44314562412