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4234044096 = 26336736571
BaseRepresentation
bin1111110001011110…
…0110001011000000
3101221002002201121000
43330113212023000
532132403402341
61540050132000
7206631531612
oct37427461300
911832081530
104234044096
111883009aa7
129a1b81000
13526268649
142c2478db2
1519baa68b6
hexfc5e62c0

4234044096 has 112 divisors (see below), whose sum is σ = 12633431680. Its totient is φ = 1390245120.

The previous prime is 4234044091. The next prime is 4234044097. The reversal of 4234044096 is 6904404324.

4234044096 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 a self number, because there is not a number n which added to its sum of digits gives 4234044096.

It is not an unprimeable number, because it can be changed into a prime (4234044091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97491 + ... + 134061.

Almost surely, 24234044096 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 4234044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316715840).

4234044096 is an abundant number, since it is smaller than the sum of its proper divisors (8399387584).

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

4234044096 is a wasteful number, since it uses less digits than its factorization.

4234044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36659 (or 36643 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4234044096 is about 65069.5327784056. The cubic root of 4234044096 is about 1617.7762630528.

It can be divided in two parts, 42340 and 44096, that added together give a square (86436 = 2942).

The spelling of 4234044096 in words is "four billion, two hundred thirty-four million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 536 576 603 804 864 1072 1206 1608 1728 1809 2144 2412 3216 3618 4288 4824 6432 7236 9648 12864 14472 19296 28944 36571 38592 57888 73142 109713 115776 146284 219426 292568 329139 438852 585136 658278 877704 987417 1170272 1316556 1755408 1974834 2340544 2450257 2633112 3510816 3949668 4900514 5266224 7021632 7350771 7899336 9801028 10532448 14701542 15798672 19602056 21064896 22052313 29403084 31597344 39204112 44104626 58806168 63194688 66156939 78408224 88209252 117612336 132313878 156816448 176418504 235224672 264627756 352837008 470449344 529255512 705674016 1058511024 1411348032 2117022048 4234044096