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1438813044 = 22343124621
BaseRepresentation
bin101010111000010…
…1000101101110100
310201021101021110000
41111300220231310
510421314004134
6354434431300
750440465134
oct12560505564
93637337400
101438813044
11679199599
12341a32530
1319c11ac86
14d9136ac4
15864aee99
hex55c28b74

1438813044 has 90 divisors (see below), whose sum is σ = 3887430162. Its totient is φ = 464032800.

The previous prime is 1438813027. The next prime is 1438813063. The reversal of 1438813044 is 4403188341.

It can be written as a sum of positive squares in only one way, i.e., 1158585444 + 280227600 = 34038^2 + 16740^2 .

It is a super-3 number, since 3×14388130443 (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 309054 + ... + 313674.

Almost surely, 21438813044 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 1438813044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943715081).

1438813044 is an abundant number, since it is smaller than the sum of its proper divisors (2448617118).

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

1438813044 is a wasteful number, since it uses less digits than its factorization.

1438813044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1438813044 is about 37931.6891793656. The cubic root of 1438813044 is about 1128.9328803801.

The spelling of 1438813044 in words is "one billion, four hundred thirty-eight million, eight hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 961 1116 1674 1922 2511 2883 3348 3844 4621 5022 5766 8649 9242 10044 11532 13863 17298 18484 25947 27726 34596 41589 51894 55452 77841 83178 103788 124767 143251 155682 166356 249534 286502 311364 374301 429753 499068 573004 748602 859506 1289259 1497204 1719012 2578518 3867777 4440781 5157036 7735554 8881562 11603331 13322343 15471108 17763124 23206662 26644686 39967029 46413324 53289372 79934058 119901087 159868116 239802174 359703261 479604348 719406522 1438813044