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44242114032 = 24331741146933
BaseRepresentation
bin101001001101000010…
…010001010111110000
311020012022100020222000
4221031002101113300
51211101440122112
632154034014000
73124234523124
oct511502212760
9136168306860
1044242114032
111784357a106
1286a8717300
134230bb50cc
1421d9b47584
15123e1347dc
hexa4d0915f0

44242114032 has 160 divisors (see below), whose sum is σ = 137741808960. Its totient is φ = 13541253120.

The previous prime is 44242114027. The next prime is 44242114051. The reversal of 44242114032 is 23041124244.

44242114032 is a `hidden beast` number, since 4 + 4 + 242 + 11 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44242113987 and 44242114005.

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, 227638 + ... + 374570.

It is an arithmetic number, because the mean of its divisors is an integer number (860886306).

Almost surely, 244242114032 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 44242114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68870904480).

44242114032 is an abundant number, since it is smaller than the sum of its proper divisors (93499694928).

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

44242114032 is a wasteful number, since it uses less digits than its factorization.

44242114032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147008 (or 146996 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44242114032 its reverse (23041124244), we get a palindrome (67283238276).

The spelling of 44242114032 in words is "forty-four billion, two hundred forty-two million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 41 48 51 54 68 72 82 102 108 123 136 144 153 164 204 216 246 272 306 328 369 408 432 459 492 612 656 697 738 816 918 984 1107 1224 1394 1476 1836 1968 2091 2214 2448 2788 2952 3672 4182 4428 5576 5904 6273 7344 8364 8856 11152 12546 16728 17712 18819 25092 33456 37638 50184 75276 100368 146933 150552 293866 301104 440799 587732 881598 1175464 1322397 1763196 2350928 2497861 2644794 3526392 3967191 4995722 5289588 6024253 7052784 7493583 7934382 9991444 10579176 12048506 14987166 15868764 18072759 19982888 21158352 22480749 24097012 29974332 31737528 36145518 39965776 44961498 48194024 54218277 59948664 63475056 67442247 72291036 89922996 96388048 102412301 108436554 119897328 134884494 144582072 162654831 179845992 204824602 216873108 269768988 289164144 307236903 325309662 359691984 409649204 433746216 539537976 614473806 650619324 819298408 867492432 921710709 1079075952 1228947612 1301238648 1638596816 1843421418 2457895224 2602477296 2765132127 3686842836 4915790448 5530264254 7373685672 11060528508 14747371344 22121057016 44242114032