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241240252041000 = 23325326804472449
BaseRepresentation
bin110110110110100000011111…
…100001110100011100101000
31011122011100020221120201121200
4312312200133201310130220
5223104440014010303000
62213024124123204200
7101546014222650522
oct6666403741643450
91148140227521550
10241240252041000
116a95946417a6a3
1223081b88376660
13a47bb2049c284
14438013a482a12
151cd532c667500
hexdb681f874728

241240252041000 has 96 divisors (see below), whose sum is σ = 815392051929000. Its totient is φ = 64330733875200.

The previous prime is 241240252040923. The next prime is 241240252041011. The reversal of 241240252041000 is 140252042142.

It is a happy number.

241240252041000 is a `hidden beast` number, since 2 + 4 + 1 + 240 + 2 + 5 + 2 + 0 + 410 + 0 + 0 = 666.

241240252041000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 122748362422596 + 118491889618404 = 11079186^2 + 10885398^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13402227225 + ... + 13402245224.

Almost surely, 2241240252041000 is an apocalyptic number.

241240252041000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241240252041000 is an abundant number, since it is smaller than the sum of its proper divisors (574151799888000).

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

241240252041000 is a wasteful number, since it uses less digits than its factorization.

241240252041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26804472476 (or 26804472459 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 241240252041000 in words is "two hundred forty-one trillion, two hundred forty billion, two hundred fifty-two million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 26804472449 53608944898 80413417347 107217889796 134022362245 160826834694 214435779592 241240252041 268044724490 321653669388 402067086735 482480504082 536089448980 643307338776 670111811225 804134173470 964961008164 1072178897960 1206201260205 1340223622450 1608268346940 1929922016328 2010335433675 2412402520410 2680447244900 3216536693880 3350559056125 4020670867350 4824805040820 5360894489800 6031006301025 6701118112250 8041341734700 9649610081640 10051677168375 12062012602050 13402236224500 16082683469400 20103354336750 24124025204100 26804472449000 30155031505125 40206708673500 48248050408200 60310063010250 80413417347000 120620126020500 241240252041000