Search a number
-
+
241234330410400 = 2552358181841873
BaseRepresentation
bin110110110110011010111110…
…100100100101110110100000
31011122010202222020222201112211
4312312122332210211312200
5223104340402041113100
62213021304350131504
7101545414406634415
oct6666327644456640
91148122866881484
10241234330410400
116a9569a5606a08
12230809b51b0b94
13a47b3b8712642
14437db37c3410c
151cd50d28601ba
hexdb66be925da0

241234330410400 has 72 divisors (see below), whose sum is σ = 588915652821804. Its totient is φ = 96493348147200.

The previous prime is 241234330410389. The next prime is 241234330410421. The reversal of 241234330410400 is 4014033432142.

It can be written as a sum of positive squares in 6 ways, for example, as 74014155509904 + 167220174900496 = 8603148^2 + 12931364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286123864 + ... + 286965736.

Almost surely, 2241234330410400 is an apocalyptic number.

241234330410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241234330410400 is an abundant number, since it is smaller than the sum of its proper divisors (347681322411404).

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

241234330410400 is a wasteful number, since it uses less digits than its factorization.

241234330410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200074 (or 1200061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 241234330410400 its reverse (4014033432142), we get a palindrome (245248363842542).

The spelling of 241234330410400 in words is "two hundred forty-one trillion, two hundred thirty-four billion, three hundred thirty million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 358181 716362 841873 1432724 1683746 1790905 2865448 3367492 3581810 4209365 5730896 6734984 7163620 8418730 8954525 11461792 13469968 14327240 16837460 17909050 21046825 26939936 28654480 33674920 35818100 42093650 57308960 67349840 71636200 84187300 134699680 143272400 168374600 286544800 336749200 673498400 301542913013 603085826026 1206171652052 1507714565065 2412343304104 3015429130130 4824686608208 6030858260260 7538572825325 9649373216416 12061716520520 15077145650650 24123433041040 30154291301300 48246866082080 60308582602600 120617165205200 241234330410400