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5312040440 = 235723853967
BaseRepresentation
bin1001111001001111…
…10100110111111000
3111201012112121120112
410330213310313320
541334340243230
62235035243452
7245431412240
oct47447646770
914635477515
105312040440
112286565673
121042ba9588
136686b3bc5
143856cab20
15211542d95
hex13c9f4df8

5312040440 has 128 divisors (see below), whose sum is σ = 14284892160. Its totient is φ = 1738243584.

The previous prime is 5312040427. The next prime is 5312040443. The reversal of 5312040440 is 440402135.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312040443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5492837 + ... + 5493803.

It is an arithmetic number, because the mean of its divisors is an integer number (111600720).

Almost surely, 25312040440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142446080).

5312040440 is an abundant number, since it is smaller than the sum of its proper divisors (8972851720).

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

5312040440 is a wasteful number, since it uses less digits than its factorization.

5312040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5312040440 is about 72883.7460617935. The cubic root of 5312040440 is about 1744.8326963352.

Adding to 5312040440 its reverse (440402135), we get a palindrome (5752442575).

The spelling of 5312040440 in words is "five billion, three hundred twelve million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 853 920 967 1288 1610 1706 1934 3220 3412 3868 4265 4835 5971 6440 6769 6824 7736 8530 9670 11942 13538 17060 19340 19619 22241 23884 27076 29855 33845 34120 38680 39238 44482 47768 54152 59710 67690 78476 88964 98095 111205 119420 135380 137333 155687 156952 177928 196190 222410 238840 270760 274666 311374 392380 444820 549332 622748 686665 778435 784760 824851 889640 1098664 1245496 1373330 1556870 1649702 2746660 3113740 3299404 4124255 5493320 5773957 6227480 6598808 8248510 11547914 16497020 18971573 23095828 28869785 32994040 37943146 46191656 57739570 75886292 94857865 115479140 132801011 151772584 189715730 230958280 265602022 379431460 531204044 664005055 758862920 1062408088 1328010110 2656020220 5312040440