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5421135540 = 2235312149631
BaseRepresentation
bin1010000110001111…
…11111011010110100
3111222210211012220210
411003013333122310
542100302314130
62253533425420
7251224614612
oct50307773264
914883735823
105421135540
1123320a9407
12107363b270
13685190412
14395da86b2
1521ade25b0
hex1431ff6b4

5421135540 has 144 divisors (see below), whose sum is σ = 15814915200. Its totient is φ = 1387411200.

The previous prime is 5421135521. The next prime is 5421135541. The reversal of 5421135540 is 455311245.

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 = 5421135498 and 5421135507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5421135541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8591025 + ... + 8591655.

It is an arithmetic number, because the mean of its divisors is an integer number (109825800).

Almost surely, 25421135540 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 5421135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907457600).

5421135540 is an abundant number, since it is smaller than the sum of its proper divisors (10393779660).

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

5421135540 is a wasteful number, since it uses less digits than its factorization.

5421135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 5421135540 is about 73628.3609759174. The cubic root of 5421135540 is about 1756.6965777298.

Adding to 5421135540 its reverse (455311245), we get a palindrome (5876446785).

The spelling of 5421135540 in words is "five billion, four hundred twenty-one million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 149 155 186 298 310 372 447 465 596 620 631 745 894 930 961 1262 1490 1788 1860 1893 1922 2235 2524 2883 2980 3155 3786 3844 4470 4619 4805 5766 6310 7572 8940 9238 9465 9610 11532 12620 13857 14415 18476 18930 19220 19561 23095 27714 28830 37860 39122 46190 55428 57660 58683 69285 78244 92380 94019 97805 117366 138570 143189 188038 195610 234732 277140 282057 286378 293415 376076 391220 429567 470095 564114 572756 586830 606391 715945 859134 940190 1128228 1173660 1212782 1410285 1431890 1718268 1819173 1880380 2147835 2425564 2820570 2863780 2914589 3031955 3638346 4295670 5641140 5829178 6063910 7276692 8591340 8743767 9095865 11658356 12127820 14572945 17487534 18191730 29145890 34975068 36383460 43718835 58291780 87437670 90352259 174875340 180704518 271056777 361409036 451761295 542113554 903522590 1084227108 1355283885 1807045180 2710567770 5421135540