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246141141420 = 22353124579341
BaseRepresentation
bin1110010100111100100…
…1111100000110101100
3212112022222222112022010
43211033021330012230
513013044113011140
6305024202521220
723532415116126
oct3451711740654
9775288875263
10246141141420
119542a291729
123b854206210
131a298787215
14bcb011c216
156609173880
hex394f27c1ac

246141141420 has 144 divisors (see below), whose sum is σ = 713779172064. Its totient is φ = 63374515200.

The previous prime is 246141141409. The next prime is 246141141431. The reversal of 246141141420 is 24141141642.

It is an interprime number because it is at equal distance from previous prime (246141141409) and next prime (246141141431).

It is a super-2 number, since 2×2461411414202 (a number of 24 digits) contains 22 as substring.

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

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, 26345950 + ... + 26355290.

It is an arithmetic number, because the mean of its divisors is an integer number (4956799806).

Almost surely, 2246141141420 is an apocalyptic number.

246141141420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246141141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356889586032).

246141141420 is an abundant number, since it is smaller than the sum of its proper divisors (467638030644).

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

246141141420 is a wasteful number, since it uses less digits than its factorization.

246141141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9872 (or 9839 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 246141141420 in words is "two hundred forty-six billion, one hundred forty-one million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 457 465 620 914 930 961 1371 1828 1860 1922 2285 2742 2883 3844 4570 4805 5484 5766 6855 9140 9341 9610 11532 13710 14167 14415 18682 19220 27420 28023 28334 28830 37364 42501 46705 56046 56668 57660 70835 85002 93410 112092 140115 141670 170004 186820 212505 280230 283340 289571 425010 439177 560460 579142 850020 868713 878354 1158284 1317531 1447855 1737426 1756708 2195885 2635062 2895710 3474852 4268837 4343565 4391770 5270124 5791420 6587655 8537674 8687130 8783540 8976701 12806511 13175310 17075348 17374260 17953402 21344185 25613022 26350620 26930103 35906804 42688370 44883505 51226044 53860206 64032555 85376740 89767010 107720412 128065110 132333947 134650515 179534020 256130220 264667894 269301030 397001841 529335788 538602060 661669735 794003682 1323339470 1588007364 1985009205 2646678940 3970018410 4102352357 7940036820 8204704714 12307057071 16409409428 20511761785 24614114142 41023523570 49228228284 61535285355 82047047140 123070570710 246141141420