Search a number
-
+
601243041204 = 22321347149183451
BaseRepresentation
bin10001011111111001110…
…00001011110110110100
32010110220122212002110100
420233330320023312310
534322321204304304
61140112432554100
761303235345601
oct10577470136664
92113818762410
10601243041204
11211a93027883
12986370b2930
134490a341850
14211593b96a8
151098e05b439
hex8bfce0bdb4

601243041204 has 144 divisors (see below), whose sum is σ = 1682768505600. Its totient is φ = 179845574400.

The previous prime is 601243041197. The next prime is 601243041233. The reversal of 601243041204 is 402140342106.

It is a happy number.

601243041204 is a `hidden beast` number, since 6 + 0 + 1 + 243 + 0 + 412 + 0 + 4 = 666.

It is a super-2 number, since 2×6012430412042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3185679 + ... + 3369129.

It is an arithmetic number, because the mean of its divisors is an integer number (11685892400).

Almost surely, 2601243041204 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 601243041204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841384252800).

601243041204 is an abundant number, since it is smaller than the sum of its proper divisors (1081525464396).

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

601243041204 is a wasteful number, since it uses less digits than its factorization.

601243041204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183670 (or 183665 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 601243041204 in words is "six hundred one billion, two hundred forty-three million, forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 149 156 188 234 282 298 423 447 468 564 596 611 846 894 1222 1341 1692 1788 1833 1937 2444 2682 3666 3874 5364 5499 5811 7003 7332 7748 10998 11622 14006 17433 21009 21996 23244 28012 34866 42018 63027 69732 84036 91039 126054 182078 183451 252108 273117 364156 366902 546234 550353 733804 819351 1092468 1100706 1638702 1651059 2201412 2384863 3277404 3302118 4769726 6604236 7154589 8622197 9539452 14309178 17244394 21463767 25866591 27334199 28618356 34488788 42927534 51733182 54668398 77599773 82002597 85855068 103466364 109336796 112088561 155199546 164005194 224177122 246007791 310399092 328010388 336265683 355344587 448354244 492015582 672531366 710689174 984031164 1008797049 1066033761 1284707353 1345062732 1421378348 2017594098 2132067522 2569414706 3198101283 3854122059 4035188196 4264135044 5138829412 6396202566 7708244118 11562366177 12792405132 15416488236 16701195589 23124732354 33402391178 46249464708 50103586767 66804782356 100207173534 150310760301 200414347068 300621520602 601243041204