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42004323240 = 23351193733961
BaseRepresentation
bin100111000111101001…
…110001101110101000
311000102100112201002120
4213013221301232220
51142011101320430
631144014231240
73014622566535
oct470751615650
9130370481076
1042004323240
11168a5388830
1281831b5520
133c653b1649
14206686dd8c
15115c950610
hex9c7a71ba8

42004323240 has 128 divisors (see below), whose sum is σ = 137619457920. Its totient is φ = 10171699200.

The previous prime is 42004323217. The next prime is 42004323241. The reversal of 42004323240 is 4232340024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42004323240.

It is not an unprimeable number, because it can be changed into a prime (42004323241) 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 31 ways as a sum of consecutive naturals, for example, 1219860 + ... + 1253820.

It is an arithmetic number, because the mean of its divisors is an integer number (1075152015).

Almost surely, 242004323240 is an apocalyptic number.

42004323240 is a gapful number since it is divisible by the number (40) 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 42004323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68809728960).

42004323240 is an abundant number, since it is smaller than the sum of its proper divisors (95615134680).

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

42004323240 is a wasteful number, since it uses less digits than its factorization.

42004323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34923 (or 34919 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42004323240 its reverse (4232340024), we get a palindrome (46236663264).

The spelling of 42004323240 in words is "forty-two billion, four million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 937 1320 1874 2811 3748 4685 5622 7496 9370 10307 11244 14055 18740 20614 22488 28110 30921 33961 37480 41228 51535 56220 61842 67922 82456 101883 103070 112440 123684 135844 154605 169805 203766 206140 247368 271688 309210 339610 373571 407532 412280 509415 618420 679220 747142 815064 1018830 1120713 1236840 1358440 1494284 1867855 2037660 2241426 2988568 3735710 4075320 4482852 5603565 7471420 8965704 11207130 14942840 22414260 31821457 44828520 63642914 95464371 127285828 159107285 190928742 254571656 318214570 350036027 381857484 477321855 636429140 700072054 763714968 954643710 1050108081 1272858280 1400144108 1750180135 1909287420 2100216162 2800288216 3500360270 3818574840 4200432324 5250540405 7000720540 8400864648 10501080810 14001441080 21002161620 42004323240