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40042341430 = 257131072111949
BaseRepresentation
bin100101010010101101…
…011010010000110110
310211100121201201000121
4211102231122100312
51124001314411210
630221210202154
72615200200130
oct452255322066
9124317651017
1040042341430
1115a88948863
12791612335a
133a11a88a70
141d1c070050
15109559c6da
hex952b5a436

40042341430 has 128 divisors (see below), whose sum is σ = 90008755200. Its totient is φ = 12488394240.

The previous prime is 40042341403. The next prime is 40042341439. The reversal of 40042341430 is 3414324004.

It is a junction number, because it is equal to n+sod(n) for n = 40042341395 and 40042341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40042341439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20544096 + ... + 20546044.

It is an arithmetic number, because the mean of its divisors is an integer number (703193400).

Almost surely, 240042341430 is an apocalyptic number.

40042341430 is an abundant number, since it is smaller than the sum of its proper divisors (49966413770).

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

40042341430 is a wasteful number, since it uses less digits than its factorization.

40042341430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 40042341430 its reverse (3414324004), we get a palindrome (43456665434).

The spelling of 40042341430 in words is "forty billion, forty-two million, three hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 107 130 182 211 214 422 455 535 749 910 1055 1070 1391 1477 1498 1949 2110 2743 2782 2954 3745 3898 5486 6955 7385 7490 9737 9745 13643 13715 13910 14770 19201 19474 19490 22577 25337 27286 27430 38402 45154 48685 50674 68215 96005 97370 112885 126685 136430 158039 177359 192010 208543 225770 253370 293501 316078 354718 411239 417086 587002 790195 822478 886795 1042715 1459801 1467505 1580390 1773590 2054507 2056195 2085430 2711059 2878673 2919602 2935010 4109014 4112390 5346107 5422118 5757346 7299005 10272535 10692214 13555295 14393365 14598010 18977413 20545070 26730535 27110590 28786730 37422749 37954826 44002573 53461070 74845498 88005146 94887065 187113745 189774130 220012865 308018011 374227490 440025730 572033449 616036022 1144066898 1540090055 2860167245 3080180110 4004234143 5720334490 8008468286 20021170715 40042341430