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40101420414 = 231123173311491
BaseRepresentation
bin100101010110001110…
…110001110101111110
310211111201220020011010
4211112032301311332
51124111430423124
630231120340050
72616515310066
oct452616616576
9124451806133
1040101420414
111600922a770
127931a74626
133a210a2743
141d25c4c3a6
15109a86c529
hex9563b1d7e

40101420414 has 128 divisors (see below), whose sum is σ = 92308709376. Its totient is φ = 11495792000.

The previous prime is 40101420407. The next prime is 40101420449. The reversal of 40101420414 is 41402410104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81672709 + ... + 81673199.

It is an arithmetic number, because the mean of its divisors is an integer number (721161792).

Almost surely, 240101420414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101420414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46154354688).

40101420414 is an abundant number, since it is smaller than the sum of its proper divisors (52207288962).

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

40101420414 is a wasteful number, since it uses less digits than its factorization.

40101420414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 40101420414 its reverse (41402410104), we get a palindrome (81503830518).

The spelling of 40101420414 in words is "forty billion, one hundred one million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 173 253 311 346 491 506 519 622 759 933 982 1038 1473 1518 1866 1903 2946 3421 3806 3979 5401 5709 6842 7153 7958 10263 10802 11293 11418 11937 14306 16203 20526 21459 22586 23874 32406 33879 42918 43769 53803 67758 78683 84943 87538 107606 124223 131307 152701 157366 161409 169886 236049 248446 254829 262614 305402 322818 372669 458103 472098 509658 591833 745338 916206 934373 1183666 1237469 1679711 1775499 1868746 1953689 2474938 2803119 3359422 3512123 3550998 3712407 3907378 5039133 5606238 5861067 7024246 7424814 10078266 10536369 11722134 13612159 21072738 21490579 26417273 27224318 38633353 40836477 42981158 52834546 64471737 77266706 79251819 81672954 115900059 128943474 158503638 231800118 290590003 581180006 607597279 871770009 1215194558 1743540018 1822791837 3645583674 6683570069 13367140138 20050710207 40101420414