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44120014134444 = 22341959312085993
BaseRepresentation
bin10100000100000011111011…
…10001010001110010101100
312210012211110122101102120000
422002001331301101302230
521240330242104300234
6233500242113424300
712202365036261423
oct1202017561216254
9183184418342500
1044120014134444
1113070213855216
124b4690756b090
131b80665488c21
14ac75c49a02ba
155179e2020899
hex28207dc51cac

44120014134444 has 120 divisors (see below), whose sum is σ = 121613622585840. Its totient is φ = 13909139721216.

The previous prime is 44120014134421. The next prime is 44120014134467. The reversal of 44120014134444 is 44443141002144.

44120014134444 is a `hidden beast` number, since 4 + 4 + 1 + 200 + 1 + 4 + 1 + 3 + 4 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (44120014134421) and next prime (44120014134467).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44120014134399 and 44120014134408.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2392489 + ... + 9693504.

It is an arithmetic number, because the mean of its divisors is an integer number (1013446854882).

Almost surely, 244120014134444 is an apocalyptic number.

It is an amenable number.

44120014134444 is an abundant number, since it is smaller than the sum of its proper divisors (77493608451396).

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

44120014134444 is a wasteful number, since it uses less digits than its factorization.

44120014134444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12086621 (or 12086610 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 44120014134444 its reverse (44443141002144), we get a palindrome (88563155136588).

The spelling of 44120014134444 in words is "forty-four trillion, one hundred twenty billion, fourteen million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 593 684 1026 1186 1539 1779 2052 2372 3078 3558 5337 6156 7116 10674 11267 16011 21348 22534 32022 33801 45068 48033 64044 67602 96066 101403 135204 192132 202806 304209 405612 608418 912627 1216836 1825254 3650508 12085993 24171986 36257979 48343972 72515958 108773937 145031916 217547874 229633867 326321811 435095748 459267734 652643622 688901601 918535468 978965433 1305287244 1377803202 1957930866 2066704803 2755606404 3915861732 4133409606 6200114409 7166993849 8266819212 12400228818 14333987698 18600343227 21500981547 24800457636 28667975396 37200686454 43001963094 64502944641 74401372908 86003926188 129005889282 136172883131 193508833923 258011778564 272345766262 387017667846 408518649393 544691532524 580526501769 774035335692 817037298786 1161053003538 1225555948179 1634074597572 2322106007076 2451111896358 3676667844537 4902223792716 7353335689074 11030003533611 14706671378148 22060007067222 44120014134444