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2128225022814 = 2311192577154807
BaseRepresentation
bin11110111110000100000…
…110001011001101011110
321112110022122211220122010
4132332010012023031132
5234332101101212224
64305405412132050
7306521254133562
oct36760406131536
97473278756563
102128225022814
117506365a7320
122a456a307026
131258c979a537
14750143176a2
153a5600cbe29
hex1ef8418b35e

2128225022814 has 96 divisors (see below), whose sum is σ = 4909177172736. Its totient is φ = 609910871040.

The previous prime is 2128225022809. The next prime is 2128225022827. The reversal of 2128225022814 is 4182205228212.

It is a super-3 number, since 3×21282250228143 (a number of 38 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13670199 + ... + 13825005.

It is an arithmetic number, because the mean of its divisors is an integer number (51137262216).

Almost surely, 22128225022814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128225022814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454588586368).

2128225022814 is an abundant number, since it is smaller than the sum of its proper divisors (2780952149922).

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

2128225022814 is a wasteful number, since it uses less digits than its factorization.

2128225022814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155438 (or 155419 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 2128225022814 in words is "two trillion, one hundred twenty-eight billion, two hundred twenty-five million, twenty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 577 627 722 1083 1154 1254 1731 2166 3462 3971 6347 7942 10963 11913 12694 19041 21926 23826 32889 38082 65778 120593 154807 208297 241186 309614 361779 416594 464421 624891 723558 928842 1249782 1702877 2291267 2941333 3405754 4582534 5108631 5882666 6873801 8823999 10217262 13747602 17647998 32354663 55885327 64709326 89323639 97063989 111770654 167655981 178647278 194127978 267970917 335311962 535941834 614738597 982560029 1229477194 1697149141 1844215791 1965120058 2947680087 3394298282 3688431582 5091447423 5895360174 10182894846 18668640551 32245833679 37337281102 56005921653 64491667358 96737501037 112011843306 193475002074 354704170469 709408340938 1064112511407 2128225022814