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40330440432 = 2434131923593
BaseRepresentation
bin100101100011111000…
…011010111011110000
310212002200211122120000
4211203320122323300
51130044043043212
630305541150000
72625266041662
oct454370327360
9125080748500
1040330440432
1116116533907
1279966bb300
133a5967a949
141d48426532
1510b0a0a1dc
hex963e1aef0

40330440432 has 100 divisors (see below), whose sum is σ = 116821444080. Its totient is φ = 13432718592.

The previous prime is 40330440431. The next prime is 40330440457. The reversal of 40330440432 is 23404403304.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40330440396 and 40330440405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40330440431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1697628 + ... + 1721220.

Almost surely, 240330440432 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 40330440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58410722040).

40330440432 is an abundant number, since it is smaller than the sum of its proper divisors (76491003648).

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

40330440432 is a wasteful number, since it uses less digits than its factorization.

40330440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24932 (or 24917 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40330440432 its reverse (23404403304), we get a palindrome (63734843736).

The spelling of 40330440432 in words is "forty billion, three hundred thirty million, four hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1319 2638 3957 5276 7914 10552 11871 15828 21104 23593 23742 31656 35613 47186 47484 63312 70779 71226 94372 94968 106839 141558 142452 188744 189936 212337 213678 283116 284904 377488 424674 427356 566232 569808 637011 849348 854712 1132464 1274022 1698696 1709424 1911033 2548044 3397392 3822066 5096088 7644132 10192176 15288264 30576528 31119167 62238334 93357501 124476668 186715002 248953336 280072503 373430004 497906672 560145006 746860008 840217509 1120290012 1493720016 1680435018 2240580024 2520652527 3360870036 4481160048 5041305054 6721740072 10082610108 13443480144 20165220216 40330440432