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2134241240430 = 2351323313760163
BaseRepresentation
bin11111000011101010101…
…100001110010101101110
321120000211221102102200210
4133003222230032111232
5234431411224143210
64312242404403250
7310123326135615
oct37035254162556
97500757372623
102134241240430
117531435a46a2
122a57690a6526
13126348023c10
147542534887c
153a7b3369e20
hex1f0eab0e56e

2134241240430 has 128 divisors (see below), whose sum is σ = 5774424671232. Its totient is φ = 500904188928.

The previous prime is 2134241240423. The next prime is 2134241240513. The reversal of 2134241240430 is 340421424312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2427529 + ... + 3187691.

It is an arithmetic number, because the mean of its divisors is an integer number (45112692744).

Almost surely, 22134241240430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134241240430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887212335616).

2134241240430 is an abundant number, since it is smaller than the sum of its proper divisors (3640183430802).

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

2134241240430 is a wasteful number, since it uses less digits than its factorization.

2134241240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760522.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2134241240430 its reverse (340421424312), we get a palindrome (2474662664742).

The spelling of 2134241240430 in words is "two trillion, one hundred thirty-four billion, two hundred forty-one million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 313 345 390 598 626 690 897 939 1495 1565 1794 1878 2990 3130 4069 4485 4695 7199 8138 8970 9390 12207 14398 20345 21597 24414 35995 40690 43194 61035 71990 93587 107985 122070 187174 215970 280761 467935 561522 760163 935870 1403805 1520326 2280489 2807610 3800815 4560978 7601630 9882119 11402445 17483749 19764238 22804890 29646357 34967498 49410595 52451247 59292714 87418745 98821190 104902494 148231785 174837490 227288737 237931019 262256235 296463570 454577474 475862038 524512470 681866211 713793057 1136443685 1189655095 1363732422 1427586114 2272887370 2379310190 3093103247 3409331055 3568965285 5472413437 6186206494 6818662110 7137930570 9279309741 10944826874 15465516235 16417240311 18558619482 27362067185 30931032470 32834480622 46396548705 54724134370 71141374681 82086201555 92793097410 142282749362 164172403110 213424124043 355706873405 426848248086 711413746810 1067120620215 2134241240430