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5155414440 = 2335114219277
BaseRepresentation
bin1001100110100100…
…10110000110101000
3111022021211012002120
410303102112012220
541024241230230
62211322231240
7241520204541
oct46322260650
914267735076
105155414440
1122061081a0
12bba655520
136421050b7
1436c9994c8
15202905310
hex1334961a8

5155414440 has 128 divisors (see below), whose sum is σ = 16914165120. Its totient is φ = 1246694400.

The previous prime is 5155414423. The next prime is 5155414489. The reversal of 5155414440 is 444145515.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551082 + ... + 560358.

It is an arithmetic number, because the mean of its divisors is an integer number (132141915).

Almost surely, 25155414440 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 5155414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457082560).

5155414440 is an abundant number, since it is smaller than the sum of its proper divisors (11758750680).

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

5155414440 is a wasteful number, since it uses less digits than its factorization.

5155414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 5155414440 is about 71801.2147529553. The cubic root of 5155414440 is about 1727.5124841064.

Adding to 5155414440 its reverse (444145515), we get a palindrome (5599559955).

The spelling of 5155414440 in words is "five billion, one hundred fifty-five million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 421 440 660 842 1263 1320 1684 2105 2526 3368 4210 4631 5052 6315 8420 9262 9277 10104 12630 13893 16840 18524 18554 23155 25260 27786 27831 37048 37108 46310 46385 50520 55572 55662 69465 74216 92620 92770 102047 111144 111324 138930 139155 185240 185540 204094 222648 277860 278310 306141 371080 408188 510235 555720 556620 612282 816376 1020470 1113240 1224564 1530705 2040940 2449128 3061410 3905617 4081880 6122820 7811234 11716851 12245640 15622468 19528085 23433702 31244936 39056170 42961787 46867404 58584255 78112340 85923574 93734808 117168510 128885361 156224680 171847148 214808935 234337020 257770722 343694296 429617870 468674040 515541444 644426805 859235740 1031082888 1288853610 1718471480 2577707220 5155414440