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5440126640 = 2451367101773
BaseRepresentation
bin1010001000100000…
…11011111010110000
3112001010120001210212
411010100123322300
542120133023030
62255452443252
7251545212344
oct50420337260
915033501725
105440126640
11234189a733
121079a79528
136890ac560
1439870d624
1521c8e4595
hex14441beb0

5440126640 has 160 divisors (see below), whose sum is σ = 13979480256. Its totient is φ = 1956556800.

The previous prime is 5440126631. The next prime is 5440126649. The reversal of 5440126640 is 466210445.

It is an interprime number because it is at equal distance from previous prime (5440126631) and next prime (5440126649).

It is a junction number, because it is equal to n+sod(n) for n = 5440126597 and 5440126606.

It is not an unprimeable number, because it can be changed into a prime (5440126649) 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, 7037294 + ... + 7038066.

Almost surely, 25440126640 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 5440126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989740128).

5440126640 is an abundant number, since it is smaller than the sum of its proper divisors (8539353616).

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

5440126640 is a wasteful number, since it uses less digits than its factorization.

5440126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5440126640 is about 73757.2141556336. The cubic root of 5440126640 is about 1758.7455161718.

The spelling of 5440126640 in words is "five billion, four hundred forty million, one hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 101 104 130 134 202 208 260 268 335 404 505 520 536 670 773 808 871 1010 1040 1072 1313 1340 1546 1616 1742 2020 2626 2680 3092 3484 3865 4040 4355 5252 5360 6184 6565 6767 6968 7730 8080 8710 10049 10504 12368 13130 13534 13936 15460 17420 20098 21008 26260 27068 30920 33835 34840 40196 50245 51791 52520 54136 61840 67670 69680 78073 80392 87971 100490 103582 105040 108272 135340 156146 160784 175942 200980 207164 258955 270680 312292 351884 390365 401960 414328 439855 517910 541360 624584 673283 703768 780730 803920 828656 879710 1014949 1035820 1249168 1346566 1407536 1561460 1759420 2029898 2071640 2693132 3122920 3366415 3518840 4059796 4143280 5074745 5230891 5386264 6245840 6732830 7037680 8119592 10149490 10461782 10772528 13465660 16239184 20298980 20923564 26154455 26931320 40597960 41847128 52308910 53862640 68001583 81195920 83694256 104617820 136003166 209235640 272006332 340007915 418471280 544012664 680015830 1088025328 1360031660 2720063320 5440126640