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4224103000040 = 2357114133450293
BaseRepresentation
bin111101011110000000001…
…010001010011111101000
3112221211011000000122121202
4331132000022022133220
51023201430332000130
612552305351023332
7614116132036220
oct75360012123750
915854130018552
104224103000040
111389483026510
125827ab66ab48
1324843c8680c1
1410863a5cd080
1574d2a4b9145
hex3d78028a7e8

4224103000040 has 128 divisors (see below), whose sum is σ = 12138442686720. Its totient is φ = 1284491212800.

The previous prime is 4224103000009. The next prime is 4224103000057. The reversal of 4224103000040 is 400003014224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4224102999976 and 4224103000021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16598867 + ... + 16851426.

It is an arithmetic number, because the mean of its divisors is an integer number (94831583490).

Almost surely, 24224103000040 is an apocalyptic number.

4224103000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224103000040 is an abundant number, since it is smaller than the sum of its proper divisors (7914339686680).

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

4224103000040 is a wasteful number, since it uses less digits than its factorization.

4224103000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33450363 (or 33450359 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4224103000040 its reverse (400003014224), we get a palindrome (4624106014264).

The spelling of 4224103000040 in words is "four trillion, two hundred twenty-four billion, one hundred three million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 44 55 56 70 77 82 88 110 140 154 164 205 220 280 287 308 328 385 410 440 451 574 616 770 820 902 1148 1435 1540 1640 1804 2255 2296 2870 3080 3157 3608 4510 5740 6314 9020 11480 12628 15785 18040 25256 31570 63140 126280 33450293 66900586 133801172 167251465 234152051 267602344 334502930 367953223 468304102 669005860 735906446 936608204 1170760255 1338011720 1371462013 1471812892 1839766115 1873216408 2341520510 2575672561 2742924026 2943625784 3679532230 4683041020 5151345122 5485848052 6857310065 7359064460 9366082040 9600234091 10302690244 10971696104 12878362805 13714620130 14718128920 15086082143 19200468182 20605380488 25756725610 27429240260 30172164286 38400936364 48001170455 51513451220 54858480520 60344328572 75430410715 76801872728 96002340910 103026902440 105602575001 120688657144 150860821430 192004681820 211205150002 301721642860 384009363640 422410300004 528012875005 603443285720 844820600008 1056025750010 2112051500020 4224103000040