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10444051443420 = 22325717487584101
BaseRepresentation
bin1001011111111011000111…
…1110011110111011011100
31100222102220220100210212200
42113332301332132323130
52332103404132142140
634113533032331500
72125362221341440
oct227766176367334
940872826323780
1010444051443420
11336732a844901
121208163843b90
135a9b4000cbca
142816cd9a4820
15131a18d5b030
hex97fb1f9eedc

10444051443420 has 144 divisors (see below), whose sum is σ = 38335812435648. Its totient is φ = 2246787532800.

The previous prime is 10444051443373. The next prime is 10444051443433. The reversal of 10444051443420 is 2434415044401.

10444051443420 is a `hidden beast` number, since 1 + 0 + 44 + 40 + 514 + 43 + 4 + 20 = 666.

It is a super-2 number, since 2×104440514434202 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243770631 + ... + 243813470.

It is an arithmetic number, because the mean of its divisors is an integer number (266220919692).

Almost surely, 210444051443420 is an apocalyptic number.

10444051443420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444051443420 is an abundant number, since it is smaller than the sum of its proper divisors (27891760992228).

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

10444051443420 is a wasteful number, since it uses less digits than its factorization.

10444051443420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487584140 (or 487584135 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 10444051443420 its reverse (2434415044401), we get a palindrome (12878466487821).

The spelling of 10444051443420 in words is "ten trillion, four hundred forty-four billion, fifty-one million, four hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 487584101 975168202 1462752303 1950336404 2437920505 2925504606 3413088707 4388256909 4875841010 5851009212 6826177414 7313761515 8288929717 8776513818 9751682020 10239266121 13652354828 14627523030 16577859434 17065443535 17553027636 20478532242 21941284545 24866789151 29255046060 30717798363 33155718868 34130887070 40957064484 41444648585 43882569090 49733578302 51196330605 58022508019 61435596726 68261774140 74600367453 82889297170 87765138180 99467156604 102392661210 116045016038 122871193452 124333945755 149200734906 153588991815 165778594340 174067524057 204785322420 232090032076 248667891510 290112540095 298401469812 307177983630 348135048114 373001837265 497335783020 522202572171 580225080190 614355967260 696270096228 746003674530 870337620285 1044405144342 1160450160380 1492007349060 1740675240570 2088810288684 2611012860855 3481350481140 5222025721710 10444051443420