Search a number
-
+
444521005630702 = 27113132816530351
BaseRepresentation
bin110010100010010100001110…
…0101000101100010011101110
32011021220210102011220010212021
41211010220130220230103232
5431231013004420140302
64213230044132100354
7162426403624550530
oct14504503450542356
92137823364803767
10444521005630702
11119702333049000
1241a331954646ba
13161061c6895690
147baad07d43850
15365d028ae9437
hex1944a1ca2c4ee

444521005630702 has 128 divisors (see below), whose sum is σ = 905870368198656. Its totient is φ = 159298745760000.

The previous prime is 444521005630697. The next prime is 444521005630711. The reversal of 444521005630702 is 207036500125444.

It is a super-4 number, since 4×4445210056307024 (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

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, 64804827 + ... + 71335177.

It is an arithmetic number, because the mean of its divisors is an integer number (7077112251552).

Almost surely, 2444521005630702 is an apocalyptic number.

444521005630702 is an abundant number, since it is smaller than the sum of its proper divisors (461349362567954).

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

444521005630702 is a wasteful number, since it uses less digits than its factorization.

444521005630702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530687 (or 6530665 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 444521005630702 in words is "four hundred forty-four trillion, five hundred twenty-one billion, five million, six hundred thirty thousand, seven hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 281 286 562 847 1001 1331 1573 1694 1967 2002 2662 3091 3146 3653 3934 6182 7306 9317 11011 17303 18634 21637 22022 25571 34001 34606 40183 43274 51142 68002 80366 121121 238007 242242 281281 374011 442013 476014 562562 748022 884026 2618077 3094091 4862143 5236154 6188182 6530351 9724286 13060702 34035001 45712457 68070002 71833861 84894563 91424914 143667722 169789126 502837027 594261941 790172471 933840193 1005674054 1188523882 1580344942 1835028631 1867680386 3670057262 5531207297 6536881351 8691897181 10272242123 11062414594 12845200417 13073762702 17383794362 20185314941 20544484246 23855372203 25690400834 40370629882 47710744406 60843280267 71905694861 112994663353 121686560534 141297204587 143811389722 166987605421 222038464351 225989326706 262409094233 282594409174 333975210842 444076928702 524818188466 790962643471 1554269250457 1581925286942 1836863659631 2442423107861 2886500036563 3108538500914 3673727319262 4884846215722 5773000073126 17096961755027 20205500255941 31751500402193 34193923510054 40411000511882 63503000804386 222260502815351 444521005630702