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5141535420 = 2235717242359
BaseRepresentation
bin1001100100111010…
…11001101010111100
3111021022201001122210
410302131121222330
541012213113140
62210104540420
7241261221120
oct46235315274
914238631583
105141535420
1121a929872a
12bb5a81710
1363c285a68
1436abc5580
152015b2d80
hex132759abc

5141535420 has 144 divisors (see below), whose sum is σ = 17478074880. Its totient is φ = 1106052096.

The previous prime is 5141535419. The next prime is 5141535449. The reversal of 5141535420 is 245351415.

It is a super-2 number, since 2×51415354202 = 52870772950229152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100201 + ... + 142559.

It is an arithmetic number, because the mean of its divisors is an integer number (121375520).

Almost surely, 25141535420 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 5141535420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739037440).

5141535420 is an abundant number, since it is smaller than the sum of its proper divisors (12336539460).

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

5141535420 is a wasteful number, since it uses less digits than its factorization.

5141535420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42412 (or 42393 counting only the distinct ones).

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

The square root of 5141535420 is about 71704.5006955630. The cubic root of 5141535420 is about 1725.9608643832.

Adding to 5141535420 its reverse (245351415), we get a palindrome (5386886835).

The spelling of 5141535420 in words is "five billion, one hundred forty-one million, five hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 289 340 357 420 476 510 578 595 714 867 1020 1156 1190 1428 1445 1734 1785 2023 2380 2890 3468 3570 4046 4335 5780 6069 7140 8092 8670 10115 12138 17340 20230 24276 30345 40460 42359 60690 84718 121380 127077 169436 211795 254154 296513 423590 508308 593026 635385 720103 847180 889539 1186052 1270770 1440206 1482565 1779078 2160309 2541540 2880412 2965130 3558156 3600515 4320618 4447695 5040721 5930260 7201030 8641236 8895390 10081442 10801545 12241751 14402060 15122163 17790780 20162884 21603090 24483502 25203605 30244326 36725253 43206180 48967004 50407210 60488652 61208755 73450506 75610815 85692257 100814420 122417510 146901012 151221630 171384514 183626265 244835020 257076771 302443260 342769028 367252530 428461285 514153542 734505060 856922570 1028307084 1285383855 1713845140 2570767710 5141535420