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40342247484 = 223711212731253
BaseRepresentation
bin100101100100100101…
…011101100000111100
310212010112001111210020
4211210211131200330
51130110103404414
630311042212140
72625501305610
oct454445354074
9125115044706
1040342247484
1116122168700
12799a654050
133a5bc52b76
141d49c1b340
1510b1a8d7a9
hex96495d83c

40342247484 has 144 divisors (see below), whose sum is σ = 119183253504. Its totient is φ = 10395665280.

The previous prime is 40342247479. The next prime is 40342247501. The reversal of 40342247484 is 48474224304.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 1275202 + ... + 1306454.

Almost surely, 240342247484 is an apocalyptic number.

40342247484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40342247484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59591626752).

40342247484 is an abundant number, since it is smaller than the sum of its proper divisors (78841006020).

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

40342247484 is a wasteful number, since it uses less digits than its factorization.

40342247484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31416 (or 31403 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 42.

The spelling of 40342247484 in words is "forty billion, three hundred forty-two million, two hundred forty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 127 132 154 231 242 254 308 363 381 462 484 508 726 762 847 889 924 1397 1452 1524 1694 1778 2541 2667 2794 3388 3556 4191 5082 5334 5588 8382 9779 10164 10668 15367 16764 19558 29337 30734 31253 39116 46101 58674 61468 62506 92202 93759 107569 117348 125012 184404 187518 215138 218771 322707 343783 375036 430276 437542 645414 656313 687566 875084 1031349 1290828 1312626 1375132 2062698 2406481 2625252 3781613 3969131 4125396 4812962 7219443 7563226 7938262 9625924 11344839 11907393 14438886 15126452 15876524 22689678 23814786 26471291 27783917 28877772 43660441 45379356 47629572 52942582 55567834 79413873 83351751 87320882 105885164 111135668 130981323 158827746 166703502 174641764 261962646 305623087 317655492 333407004 480264851 523925292 611246174 916869261 960529702 1222492348 1440794553 1833738522 1921059404 2881589106 3361853957 3667477044 5763178212 6723707914 10085561871 13447415828 20171123742 40342247484