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40330542564 = 2232133111532411
BaseRepresentation
bin100101100011111000…
…110011110111100100
310212002201000211122200
4211203320303313210
51130044104330224
630305543254500
72625266645514
oct454370636744
9125081024580
1040330542564
11161165a3614
12799674a430
133a596b5290
141d48451844
1510b0a2a5c9
hex963e33de4

40330542564 has 144 divisors (see below), whose sum is σ = 113475608064. Its totient is φ = 11993702400.

The previous prime is 40330542541. The next prime is 40330542583. The reversal of 40330542564 is 46524503304.

40330542564 is a `hidden beast` number, since 40 + 3 + 3 + 0 + 54 + 2 + 564 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16726519 + ... + 16728929.

It is an arithmetic number, because the mean of its divisors is an integer number (788025056).

Almost surely, 240330542564 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 40330542564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56737804032).

40330542564 is an abundant number, since it is smaller than the sum of its proper divisors (73145065500).

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

40330542564 is a wasteful number, since it uses less digits than its factorization.

40330542564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 40330542564 in words is "forty billion, three hundred thirty million, five hundred forty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1153 1209 1612 2306 2411 2418 3459 3627 4612 4822 4836 6918 7233 7254 9644 10377 13836 14466 14508 14989 20754 21699 28932 29978 31343 35743 41508 43398 44967 59956 62686 71486 74741 86796 89934 94029 107229 125372 134901 142972 149482 179868 188058 214458 224223 269802 282087 298964 321687 376116 428916 448446 464659 539604 564174 643374 672669 896892 929318 971633 1128348 1286748 1345338 1393977 1858636 1943266 2690676 2779883 2787954 2914899 3886532 4181931 5559766 5575908 5829798 8339649 8363862 8744697 11119532 11659596 16679298 16727724 17489394 25018947 33358596 34978788 36138479 50037894 72276958 86176373 100075788 108415437 144553916 172352746 216830874 258529119 325246311 344705492 433661748 517058238 650492622 775587357 1034116476 1120292849 1300985244 1551174714 2240585698 3102349428 3360878547 4481171396 6721757094 10082635641 13443514188 20165271282 40330542564