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241240250042240 = 275670156250991
BaseRepresentation
bin110110110110100000011111…
…011010001100011110000000
31011122011100020210211011211112
4312312200133122030132000
5223104440013002322430
62213024124012302452
7101546014166654321
oct6666403732143600
91148140223734745
10241240250042240
116a959463034a29
1223081b87771a28
13a47bb1cc4c587
14438013a0c2448
151cd532c3c0195
hexdb681f68c780

241240250042240 has 64 divisors (see below), whose sum is σ = 576801047027520. Its totient is φ = 96481698048000.

The previous prime is 241240250042227. The next prime is 241240250042257. The reversal of 241240250042240 is 42240052042142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 241240250042197 and 241240250042206.

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 7 ways as a sum of consecutive naturals, for example, 23836856 + ... + 32414135.

It is an arithmetic number, because the mean of its divisors is an integer number (9012516359805).

Almost surely, 2241240250042240 is an apocalyptic number.

241240250042240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241240250042240 is an abundant number, since it is smaller than the sum of its proper divisors (335560796985280).

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

241240250042240 is an equidigital number, since it uses as much as digits as its factorization.

241240250042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56257711 (or 56257699 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

The spelling of 241240250042240 in words is "two hundred forty-one trillion, two hundred forty billion, two hundred fifty million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6701 13402 26804 33505 53608 67010 107216 134020 214432 268040 428864 536080 857728 1072160 2144320 4288640 56250991 112501982 225003964 281254955 450007928 562509910 900015856 1125019820 1800031712 2250039640 3600063424 4500079280 7200126848 9000158560 18000317120 36000634240 376937890691 753875781382 1507751562764 1884689453455 3015503125528 3769378906910 6031006251056 7538757813820 12062012502112 15077515627640 24124025004224 30155031255280 48248050008448 60310062510560 120620125021120 241240250042240