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40621242221024 = 2519443619924329
BaseRepresentation
bin10010011110001110111101…
…01101101000000111100000
312022211100112012202200221112
421033013132231220013200
520311014301002033044
6222221050245042452
711361534151562213
oct1117073655500740
9168740465680845
1040621242221024
1111a41410270733
1246808039b6428
13198874a08780a
14a06115a0577a
154a69b98d109e
hex24f1deb681e0

40621242221024 has 96 divisors (see below), whose sum is σ = 84389286240000. Its totient is φ = 19194320231424.

The previous prime is 40621242220981. The next prime is 40621242221173. The reversal of 40621242221024 is 42012224212604.

40621242221024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 1669651292 + ... + 1669675620.

It is an arithmetic number, because the mean of its divisors is an integer number (879055065000).

Almost surely, 240621242221024 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 40621242221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194643120000).

40621242221024 is an abundant number, since it is smaller than the sum of its proper divisors (43768044018976).

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

40621242221024 is a wasteful number, since it uses less digits than its factorization.

40621242221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31000 (or 30992 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 40621242221024 its reverse (42012224212604), we get a palindrome (82633466433628).

The spelling of 40621242221024 in words is "forty trillion, six hundred twenty-one billion, two hundred forty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 443 608 886 1772 3544 6199 7088 8417 12398 14176 16834 24329 24796 33668 48658 49592 67336 97316 99184 117781 134672 194632 198368 235562 269344 389264 462251 471124 778528 924502 942248 1849004 1884496 2746157 3698008 3768992 5492314 7396016 10777747 10984628 14792032 21555494 21969256 43110988 43938512 52176983 86221976 87877024 104353966 150815471 172443952 204777193 208707932 301630942 344887904 409554386 417415864 603261884 819108772 834831728 1206523768 1638217544 1669663456 2413047536 2865493949 3276435088 4826095072 5730987898 6552870176 11461975796 22923951592 45847903184 66811253653 91695806368 133622507306 267245014612 534490029224 1068980058448 1269413819407 2137960116896 2538827638814 5077655277628 10155310555256 20310621110512 40621242221024