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44318401991514 = 2337318513444271
BaseRepresentation
bin10100001001110101011101…
…00110111001001101011010
312210220210112122010202201000
422010322232212321031122
521302103041402212024
6234131332014005430
712222620213242320
oct1204725646711532
9183823478122630
1044318401991514
1113137368600592
124b792531a6876
131b962907b0271
14ad3044909d10
1551cc53b97cc9
hex284eae9b935a

44318401991514 has 128 divisors (see below), whose sum is σ = 116199377141760. Its totient is φ = 12252469017600.

The previous prime is 44318401991471. The next prime is 44318401991593. The reversal of 44318401991514 is 41519910481344.

44318401991514 is a `hidden beast` number, since 4 + 4 + 31 + 8 + 4 + 0 + 1 + 9 + 91 + 514 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99533199 + ... + 99977469.

It is an arithmetic number, because the mean of its divisors is an integer number (907807633920).

Almost surely, 244318401991514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44318401991514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58099688570880).

44318401991514 is an abundant number, since it is smaller than the sum of its proper divisors (71880975150246).

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

44318401991514 is a wasteful number, since it uses less digits than its factorization.

44318401991514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452833 (or 452827 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 44318401991514 in words is "forty-four trillion, three hundred eighteen billion, four hundred one million, nine hundred ninety-one thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 8513 11718 17026 25539 51078 59591 76617 119182 153234 178773 229851 263903 357546 444271 459702 527806 536319 791709 888542 1072638 1332813 1583418 1608957 1847321 2375127 2665626 3109897 3217914 3694642 3998439 4750254 5541963 6219794 7125381 7996878 9329691 11083926 11995317 13772401 14250762 16625889 18659382 23990634 27544802 27989073 33251778 41317203 49877667 55978146 82634406 83967219 96406807 99755334 123951609 167934438 192813614 247903218 289220421 371854827 578440842 743709654 867661263 1735322526 2602983789 3782079023 5205967578 7564158046 11346237069 22692474138 26474553161 34038711207 52949106322 68077422414 79423659483 102116133621 117244449713 158847318966 204232267242 234488899426 238270978449 351733349139 476541956898 703466698278 714812935347 820711147991 1055200047417 1429625870694 1641422295982 2110400094834 2462133443973 3165600142251 4924266887946 6331200284502 7386400331919 14772800663838 22159200995757 44318401991514