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2140514531364 = 2231117273768641
BaseRepresentation
bin11111001001100000100…
…110111011100000100100
321120122001010201122001110
4133021200212323200210
5240032233210000424
64315201103025020
7310434642212556
oct37114046734044
97518033648043
102140514531364
11755872716a60
122a6a19b9b170
13126b078c86a1
147585c5774d6
153aa2de87c29
hex1f2609bb824

2140514531364 has 144 divisors (see below), whose sum is σ = 5867235009216. Its totient is φ = 602121830400.

The previous prime is 2140514531341. The next prime is 2140514531369. The reversal of 2140514531364 is 4631354150412.

It is not an unprimeable number, because it can be changed into a prime (2140514531369) 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 47 ways as a sum of consecutive naturals, for example, 2400484 + ... + 3169124.

It is an arithmetic number, because the mean of its divisors is an integer number (40744687564).

Almost surely, 22140514531364 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 2140514531364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933617504608).

2140514531364 is an abundant number, since it is smaller than the sum of its proper divisors (3726720477852).

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

2140514531364 is a wasteful number, since it uses less digits than its factorization.

2140514531364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768766 (or 768747 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 2140514531364 its reverse (4631354150412), we get a palindrome (6771868681776).

The spelling of 2140514531364 in words is "two trillion, one hundred forty billion, five hundred fourteen million, five hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 73 102 132 146 187 204 219 289 292 374 438 561 578 748 803 867 876 1122 1156 1241 1606 1734 2244 2409 2482 3179 3212 3468 3723 4818 4964 6358 7446 9537 9636 12716 13651 14892 19074 21097 27302 38148 40953 42194 54604 63291 81906 84388 126582 163812 232067 253164 464134 696201 768641 928268 1392402 1537282 2305923 2784804 3074564 4611846 8455051 9223692 13066897 16910102 25365153 26133794 33820204 39200691 50730306 52267588 56110793 78401382 101460612 112221586 143735867 156802764 168332379 222137249 224443172 287471734 336664758 431207601 444274498 574943468 617218723 666411747 673329516 862415202 888548996 953883481 1234437446 1332823494 1724830404 1851656169 1907766962 2443509739 2468874892 2665646988 2861650443 3703312338 3815533924 4887019478 5723300886 7330529217 7406624676 9774038956 10492718291 11446601772 14661058434 16216019177 20985436582 29322116868 31478154873 32432038354 41970873164 48648057531 62956309746 64864076708 97296115062 125912619492 178376210947 194592230124 356752421894 535128632841 713504843788 1070257265682 2140514531364