Search a number
-
+
44205044736 = 210349928837
BaseRepresentation
bin101001001010110100…
…110111010000000000
311020002201120221110010
4221022310313100000
51211012442412421
632150231304520
73123304452306
oct511264672000
9136081527403
1044205044736
1117824660426
12869821b140
134226306508
1421d4c58276
15123ac61076
hexa4ad37400

44205044736 has 88 divisors (see below), whose sum is σ = 118062772000. Its totient is φ = 14704975872.

The previous prime is 44205044707. The next prime is 44205044753. The reversal of 44205044736 is 63744050244.

It is a super-2 number, since 2×442050447362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44205044694 and 44205044703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1518510 + ... + 1547346.

Almost surely, 244205044736 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 44205044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59031386000).

44205044736 is an abundant number, since it is smaller than the sum of its proper divisors (73857727264).

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

44205044736 is a wasteful number, since it uses less digits than its factorization.

44205044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29359 (or 29341 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 44205044736 in words is "forty-four billion, two hundred five million, forty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 499 512 768 998 1024 1497 1536 1996 2994 3072 3992 5988 7984 11976 15968 23952 28837 31936 47904 57674 63872 86511 95808 115348 127744 173022 191616 230696 255488 346044 383232 461392 510976 692088 766464 922784 1384176 1532928 1845568 2768352 3691136 5536704 7382272 11073408 14389663 14764544 22146816 28779326 29529088 43168989 44293632 57558652 86337978 88587264 115117304 172675956 230234608 345351912 460469216 690703824 920938432 1381407648 1841876864 2762815296 3683753728 5525630592 7367507456 11051261184 14735014912 22102522368 44205044736