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5031415440 = 24345776453
BaseRepresentation
bin1001010111110010…
…10100111010010000
3110222122111101110000
410223321110322100
540301020243230
62151132410000
7235453216452
oct45371247220
913878441400
105031415440
112152114987
12b85016900
1362250abcc
1435a31c2d2
151e6aaeb60
hex12be54e90

5031415440 has 100 divisors (see below), whose sum is σ = 17474873724. Its totient is φ = 1341709056.

The previous prime is 5031415397. The next prime is 5031415447. The reversal of 5031415440 is 445141305.

It is a happy number.

5031415440 is a `hidden beast` number, since 50 + 31 + 41 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3105609984 + 1925805456 = 55728^2 + 43884^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5031415447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 381747 + ... + 394706.

Almost surely, 25031415440 is an apocalyptic number.

It is an amenable number.

5031415440 is an abundant number, since it is smaller than the sum of its proper divisors (12443458284).

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

5031415440 is a wasteful number, since it uses less digits than its factorization.

5031415440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776478 (or 776463 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5031415440 is about 70932.4709847331. The cubic root of 5031415440 is about 1713.5497819711.

Adding to 5031415440 its reverse (445141305), we get a palindrome (5476556745).

The spelling of 5031415440 in words is "five billion, thirty-one million, four hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 776453 1552906 2329359 3105812 3882265 4658718 6211624 6988077 7764530 9317436 11646795 12423248 13976154 15529060 18634872 20964231 23293590 27952308 31058120 34940385 37269744 41928462 46587180 55904616 62116240 62892693 69880770 83856924 93174360 104821155 111809232 125785386 139761540 167713848 186348720 209642310 251570772 279523080 314463465 335427696 419284620 503141544 559046160 628926930 838569240 1006283088 1257853860 1677138480 2515707720 5031415440