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5431441440 = 253522694987
BaseRepresentation
bin1010000111011110…
…10011100000100000
3112000112012210221210
411003233103200200
542110422111230
62254542350120
7251411330145
oct50357234040
915015183853
105431441440
1123379a8387
121076b8b340
1368735b299
143974cc3cc
1521bc7aeb0
hex143bd3820

5431441440 has 96 divisors (see below), whose sum is σ = 17120013120. Its totient is φ = 1447455744.

The previous prime is 5431441429. The next prime is 5431441447. The reversal of 5431441440 is 441441345.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×54314414402 = 59001112232298547200, which contains 22 as substring.

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 = 5431441398 and 5431441407.

It is not an unprimeable number, because it can be changed into a prime (5431441447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086627 + ... + 1091613.

It is an arithmetic number, because the mean of its divisors is an integer number (178333470).

Almost surely, 25431441440 is an apocalyptic number.

It is an amenable number.

5431441440 is an abundant number, since it is smaller than the sum of its proper divisors (11688571680).

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

5431441440 is a wasteful number, since it uses less digits than its factorization.

5431441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7266 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 5431441440 is about 73698.3136849141. The cubic root of 5431441440 is about 1757.8090678317.

Adding to 5431441440 its reverse (441441345), we get a palindrome (5872882785).

The spelling of 5431441440 in words is "five billion, four hundred thirty-one million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2269 4538 4987 6807 9076 9974 11345 13614 14961 18152 19948 22690 24935 27228 29922 34035 36304 39896 45380 49870 54456 59844 68070 72608 74805 79792 90760 99740 108912 119688 136140 149610 159584 181520 199480 217824 239376 272280 299220 363040 398960 478752 544560 598440 797920 1089120 1196880 2393760 11315503 22631006 33946509 45262012 56577515 67893018 90524024 113155030 135786036 169732545 181048048 226310060 271572072 339465090 362096096 452620120 543144144 678930180 905240240 1086288288 1357860360 1810480480 2715720720 5431441440