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4434241312440 = 233354105778993
BaseRepresentation
bin100000010000110110101…
…1000001101011010111000
3120200220112220022222012000
41000201231120031122320
51040122311233444230
613233021244221000
7635235430156302
oct100415530153270
916626486288160
104434241312440
11145a607690895
125b747653a760
132621bb4108a4
14114892d58972
157a528a1cb60
hex4086d60d6b8

4434241312440 has 64 divisors (see below), whose sum is σ = 14780804378400. Its totient is φ = 1182464349696.

The previous prime is 4434241312427. The next prime is 4434241312463. The reversal of 4434241312440 is 442131424344.

4434241312440 is a `hidden beast` number, since 4 + 4 + 342 + 41 + 31 + 244 + 0 = 666.

It is a super-2 number, since 2×44342413124402 (a number of 26 digits) contains 22 as substring.

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 = 4434241312395 and 4434241312404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052888417 + ... + 2052890576.

Almost surely, 24434241312440 is an apocalyptic number.

4434241312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4434241312440 is an abundant number, since it is smaller than the sum of its proper divisors (10346563065960).

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

4434241312440 is a wasteful number, since it uses less digits than its factorization.

4434241312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105779013 (or 4105779003 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 4434241312440 its reverse (442131424344), we get a palindrome (4876372736784).

The spelling of 4434241312440 in words is "four trillion, four hundred thirty-four billion, two hundred forty-one million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 4105778993 8211557986 12317336979 16423115972 20528894965 24634673958 32846231944 36952010937 41057789930 49269347916 61586684895 73904021874 82115579860 98538695832 110856032811 123173369790 147808043748 164231159720 184760054685 221712065622 246346739580 295616087496 369520109370 443424131244 492693479160 554280164055 739040218740 886848262488 1108560328110 1478080437480 2217120656220 4434241312440