Search a number
-
+
44151141242616 = 23317643373345083
BaseRepresentation
bin10100000100111101111010…
…00101110001011011111000
312210022210210221112100200020
422002132331011301123320
521241333014124230431
6233522430531410440
712204546303316062
oct1202367505613370
9183283727470606
1044151141242616
1113082437239301
124b50953a53a20
131b83586203625
14ac8cd89a2732
15518714a87696
hex2827bd1716f8

44151141242616 has 128 divisors (see below), whose sum is σ = 117086379621120. Its totient is φ = 13825785268224.

The previous prime is 44151141242597. The next prime is 44151141242627. The reversal of 44151141242616 is 61624214115144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979307611 + ... + 979352693.

It is an arithmetic number, because the mean of its divisors is an integer number (914737340790).

Almost surely, 244151141242616 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 44151141242616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58543189810560).

44151141242616 is an abundant number, since it is smaller than the sum of its proper divisors (72935238378504).

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

44151141242616 is a wasteful number, since it uses less digits than its factorization.

44151141242616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49485 (or 49481 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 44151141242616 in words is "forty-four trillion, one hundred fifty-one billion, one hundred forty-one million, two hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 643 1286 1929 2572 3733 3858 5144 7466 7716 10931 11199 14932 15432 21862 22398 29864 32793 43724 44796 45083 63461 65586 87448 89592 90166 126922 131172 135249 180332 190383 253844 262344 270498 360664 380766 507688 540996 761532 766411 1081992 1523064 1532822 2299233 2400319 3065644 4598466 4800638 6131288 7200957 9196932 9601276 14401914 18393864 19202552 28803828 28988369 40805423 57607656 57976738 81610846 86965107 115953476 122416269 163221692 168294839 173930214 231906952 244832538 326443384 336589678 347860428 489665076 492802273 504884517 673179356 695720856 979330152 985604546 1009769034 1346358712 1478406819 1971209092 2019538068 2861012263 2956813638 3942418184 4039076136 5722024526 5913627276 8583036789 11444049052 11827254552 17166073578 22888098104 34332147156 68664294312 108213581477 216427162954 324640744431 432854325908 649281488862 865708651816 1298562977724 1839630885109 2597125955448 3679261770218 5518892655327 7358523540436 11037785310654 14717047080872 22075570621308 44151141242616