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424442220240 = 243571199712473
BaseRepresentation
bin1100010110100101011…
…10100100111011010000
31111120120002220210211010
412023102232210323100
523423224202021430
6522552553450520
742444034226223
oct6132256447320
91446502823733
10424442220240
11154006628215
126a314a10a40
133104243c25c
14167864335ba
15b09263ccb0
hex62d2ba4ed0

424442220240 has 160 divisors (see below), whose sum is σ = 1335078049536. Its totient is φ = 111525621760.

The previous prime is 424442220203. The next prime is 424442220263. The reversal of 424442220240 is 42022244424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 424442220198 and 424442220207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34022644 + ... + 34035116.

Almost surely, 2424442220240 is an apocalyptic number.

424442220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424442220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667539024768).

424442220240 is an abundant number, since it is smaller than the sum of its proper divisors (910635829296).

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

424442220240 is a wasteful number, since it uses less digits than its factorization.

424442220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 424442220240 its reverse (42022244424), we get a palindrome (466464464664).

The spelling of 424442220240 in words is "four hundred twenty-four billion, four hundred forty-two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 1997 2130 2840 3408 3994 4260 5680 5991 7988 8520 9985 11982 12473 15976 17040 19970 23964 24946 29955 31952 37419 39940 47928 49892 59910 62365 74838 79880 95856 99784 119820 124730 141787 149676 159760 187095 199568 239640 249460 283574 299352 374190 425361 479280 498920 567148 598704 708935 748380 850722 885583 997840 1134296 1417870 1496760 1701444 1771166 2126805 2268592 2656749 2835740 2993520 3402888 3542332 4253610 4427915 5313498 5671480 6805776 7084664 8507220 8855830 10626996 11342960 13283745 14169328 17014440 17711660 21253992 24908581 26567490 34028880 35423320 42507984 49817162 53134980 70846640 74725743 99634324 106269960 124542905 149451486 199268648 212539920 249085810 298902972 373628715 398537296 498171620 597805944 747257430 996343240 1195611888 1494514860 1768509251 1992686480 2989029720 3537018502 5305527753 5978059440 7074037004 8842546255 10611055506 14148074008 17685092510 21222111012 26527638765 28296148016 35370185020 42444222024 53055277530 70740370040 84888444048 106110555060 141480740080 212221110120 424442220240