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114230423440 = 2457735127749
BaseRepresentation
bin110101001100010101…
…0011110111110010000
3101220211220200202100201
41222120222132332100
53332420442022230
6124250550224544
711152510402330
oct1523052367620
9356756622321
10114230423440
1144499106931
121a17b655154
13aa05a98543
145758d990c0
152e886d65ca
hex1a98a9ef90

114230423440 has 80 divisors (see below), whose sum is σ = 303578784000. Its totient is φ = 39157977600.

The previous prime is 114230423429. The next prime is 114230423479. The reversal of 114230423440 is 44324032411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 114230423399 and 114230423408.

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 15 ways as a sum of consecutive naturals, for example, 4102686 + ... + 4130434.

It is an arithmetic number, because the mean of its divisors is an integer number (3794734800).

Almost surely, 2114230423440 is an apocalyptic number.

114230423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114230423440 is an abundant number, since it is smaller than the sum of its proper divisors (189348360560).

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

114230423440 is a wasteful number, since it uses less digits than its factorization.

114230423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35120 (or 35114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 114230423440 its reverse (44324032411), we get a palindrome (158554455851).

The spelling of 114230423440 in words is "one hundred fourteen billion, two hundred thirty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7351 14702 27749 29404 36755 51457 55498 58808 73510 102914 110996 117616 138745 147020 194243 205828 221992 257285 277490 294040 388486 411656 443984 514570 554980 588080 776972 823312 971215 1029140 1109960 1553944 1942430 2058280 2219920 3107888 3884860 4116560 7769720 15539440 203982899 407965798 815931596 1019914495 1427880293 1631863192 2039828990 2855760586 3263726384 4079657980 5711521172 7139401465 8159315960 11423042344 14278802930 16318631920 22846084688 28557605860 57115211720 114230423440