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42001044210 = 2345437316519
BaseRepresentation
bin100111000111011101…
…010001001011110010
311000102010101010010000
4213013131101023302
51142004231403320
631143420050430
73014552661636
oct470735211362
9130363333100
1042001044210
11168a3549194
128182093a16
133c64803ca8
142066258dc6
15115c503c90
hex9c77512f2

42001044210 has 160 divisors (see below), whose sum is σ = 117152703360. Its totient is φ = 10789293312.

The previous prime is 42001044193. The next prime is 42001044227. The reversal of 42001044210 is 1244010024.

42001044210 is a `hidden beast` number, since 4 + 200 + 10 + 442 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (42001044193) and next prime (42001044227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2534331 + ... + 2550849.

It is an arithmetic number, because the mean of its divisors is an integer number (732204396).

Almost surely, 242001044210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42001044210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58576351680).

42001044210 is an abundant number, since it is smaller than the sum of its proper divisors (75151659150).

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

42001044210 is a wasteful number, since it uses less digits than its factorization.

42001044210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16654 (or 16645 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 42001044210 its reverse (1244010024), we get a palindrome (43245054234).

The spelling of 42001044210 in words is "forty-two billion, one million, forty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 73 81 86 90 129 135 146 162 215 219 258 270 365 387 405 430 438 645 657 730 774 810 1095 1161 1290 1314 1935 1971 2190 2322 3139 3285 3483 3870 3942 5805 5913 6278 6570 6966 9417 9855 11610 11826 15695 16519 17415 18834 19710 28251 29565 31390 33038 34830 47085 49557 56502 59130 82595 84753 94170 99114 141255 148671 165190 169506 247785 254259 282510 297342 423765 446013 495570 508518 710317 743355 847530 892026 1205887 1271295 1338039 1420634 1486710 2130951 2230065 2411774 2542590 2676078 3551585 3617661 4261902 4460130 6029435 6392853 6690195 7103170 7235322 10654755 10852983 12058870 12785706 13380390 18088305 19178559 21309510 21705966 31964265 32558949 36176610 38357118 51853141 54264915 57535677 63928530 65117898 95892795 97676847 103706282 108529830 115071354 155559423 162794745 191785590 195353694 259265705 287678385 311118846 325589490 466678269 488384235 518531410 575356770 777797115 933356538 976768470 1400034807 1555594230 2333391345 2800069614 4200104421 4666782690 7000174035 8400208842 14000348070 21000522105 42001044210