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4201030140 = 2235174787631
BaseRepresentation
bin1111101001100110…
…1010000111111100
3101211202222102221220
43322121222013330
532100430431030
61532510353340
7206051111166
oct37231520774
911752872856
104201030140
11186641013a
12992abb850
1351c479868
142bbd23936
15198c34a10
hexfa66a1fc

4201030140 has 96 divisors (see below), whose sum is σ = 12719960064. Its totient is φ = 1031930880.

The previous prime is 4201030139. The next prime is 4201030147. The reversal of 4201030140 is 410301024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201030147) 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 31 ways as a sum of consecutive naturals, for example, 4125 + ... + 91755.

It is an arithmetic number, because the mean of its divisors is an integer number (132499584).

Almost surely, 24201030140 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 4201030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359980032).

4201030140 is an abundant number, since it is smaller than the sum of its proper divisors (8518929924).

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

4201030140 is a wasteful number, since it uses less digits than its factorization.

4201030140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87707 (or 87705 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4201030140 is about 64815.3541994488. The cubic root of 4201030140 is about 1613.5605445578.

Adding to 4201030140 its reverse (410301024), we get a palindrome (4611331164).

The spelling of 4201030140 in words is "four billion, two hundred one million, thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7990 9588 11985 15980 23970 47940 87631 175262 262893 350524 438155 525786 876310 1051572 1314465 1489727 1752620 2628930 2979454 4118657 4469181 5257860 5958908 7448635 8237314 8938362 12355971 14897270 16474628 17876724 20593285 22345905 24711942 29794540 41186570 44691810 49423884 61779855 70017169 82373140 89383620 123559710 140034338 210051507 247119420 280068676 350085845 420103014 700171690 840206028 1050257535 1400343380 2100515070 4201030140