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234042140040 = 2335107128314207
BaseRepresentation
bin1101100111110111111…
…1111010010110001000
3211101002210120120120220
43121331333322112020
512313304241440130
6255303435150040
722623532236462
oct3317577722610
9741083516526
10234042140040
1190290760935
12394382a5320
13190bac6b5c7
14b4832cd132
15614bd99410
hex367dffa588

234042140040 has 128 divisors (see below), whose sum is σ = 709290639360. Its totient is φ = 61775416064.

The previous prime is 234042139987. The next prime is 234042140069. The reversal of 234042140040 is 40041240432.

It is a happy number.

234042140040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16466617 + ... + 16480823.

It is an arithmetic number, because the mean of its divisors is an integer number (5541333120).

Almost surely, 2234042140040 is an apocalyptic number.

234042140040 is a gapful number since it is divisible by the number (20) 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 234042140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354645319680).

234042140040 is an abundant number, since it is smaller than the sum of its proper divisors (475248499320).

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

234042140040 is a wasteful number, since it uses less digits than its factorization.

234042140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15611 (or 15607 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 234042140040 its reverse (40041240432), we get a palindrome (274083380472).

The spelling of 234042140040 in words is "two hundred thirty-four billion, forty-two million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1283 1284 1605 2140 2566 2568 3210 3849 4280 5132 6415 6420 7698 10264 12830 12840 14207 15396 19245 25660 28414 30792 38490 42621 51320 56828 71035 76980 85242 113656 137281 142070 153960 170484 213105 274562 284140 340968 411843 426210 549124 568280 686405 823686 852420 1098248 1372810 1520149 1647372 1704840 2059215 2745620 3040298 3294744 4118430 4560447 5491240 6080596 7600745 8236860 9120894 12161192 15201490 16473720 18227581 18241788 22802235 30402980 36455162 36483576 45604470 54682743 60805960 72910324 91137905 91208940 109365486 145820648 182275810 182417880 218730972 273413715 364551620 437461944 546827430 729103240 1093654860 1950351167 2187309720 3900702334 5851053501 7801404668 9751755835 11702107002 15602809336 19503511670 23404214004 29255267505 39007023340 46808428008 58510535010 78014046680 117021070020 234042140040