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40411985152 = 287112936997
BaseRepresentation
bin100101101000101111…
…011111010100000000
310212022101021112212211
4211220233133110000
51130230432011102
630322013031504
72630306130460
oct455057372400
9125271245784
1040411985152
111615856a640
1279b9a85594
133a7052c166
141d551b1ba0
1510b7c667d7
hex968bdf500

40411985152 has 144 divisors (see below), whose sum is σ = 100928403072. Its totient is φ = 15688949760.

The previous prime is 40411985129. The next prime is 40411985177. The reversal of 40411985152 is 25158911404.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5772118 + ... + 5779114.

It is an arithmetic number, because the mean of its divisors is an integer number (700891688).

Almost surely, 240411985152 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 40411985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50464201536).

40411985152 is an abundant number, since it is smaller than the sum of its proper divisors (60516417920).

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

40411985152 is a wasteful number, since it uses less digits than its factorization.

40411985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 40411985152 in words is "forty billion, four hundred eleven million, nine hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 293 308 352 448 586 616 704 896 1172 1232 1408 1792 2051 2344 2464 2816 3223 4102 4688 4928 6446 6997 8204 9376 9856 12892 13994 16408 18752 19712 22561 25784 27988 32816 37504 45122 48979 51568 55976 65632 75008 76967 90244 97958 103136 111952 131264 153934 180488 195916 206272 223904 262528 307868 360976 391832 412544 447808 525056 538769 615736 721952 783664 825088 895616 1077538 1231472 1443904 1567328 1791232 2050121 2155076 2462944 2887808 3134656 4100242 4310152 4925888 5775616 6269312 8200484 8620304 9851776 12538624 14350847 16400968 17240608 19703552 22551331 28701694 32801936 34481216 45102662 57403388 65603872 68962432 90205324 114806776 131207744 137924864 157859317 180410648 229613552 262415488 315718634 360821296 459227104 524830976 631437268 721642592 918454208 1262874536 1443285184 1836908416 2525749072 2886570368 3673816832 5051498144 5773140736 10102996288 20205992576 40411985152