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241402224102240 = 25354311695844191
BaseRepresentation
bin110110111000110111010101…
…110100001100101101100000
31011122201211100001120222001210
4312320313111310030231200
5223120113223332232430
62213230352322430120
7101563510103523435
oct6670672564145540
91148654301528053
10241402224102240
116aa11121187633
12230a9450502340
13a491194180526
144387d03c5bb8c
151cd965c2e92b0
hexdb8dd5d0cb60

241402224102240 has 96 divisors (see below), whose sum is σ = 778101122405376. Its totient is φ = 62876858365440.

The previous prime is 241402224102209. The next prime is 241402224102307. The reversal of 241402224102240 is 42201422204142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241402224102198 and 241402224102207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5847901456 + ... + 5847942735.

It is an arithmetic number, because the mean of its divisors is an integer number (8105220025056).

Almost surely, 2241402224102240 is an apocalyptic number.

241402224102240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241402224102240 is an abundant number, since it is smaller than the sum of its proper divisors (536698898303136).

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

241402224102240 is a wasteful number, since it uses less digits than its factorization.

241402224102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11695844252 (or 11695844244 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 241402224102240 its reverse (42201422204142), we get a palindrome (283603646306382).

The spelling of 241402224102240 in words is "two hundred forty-one trillion, four hundred two billion, two hundred twenty-four million, one hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 11695844191 23391688382 35087532573 46783376764 58479220955 70175065146 93566753528 116958441910 140350130292 175437662865 187133507056 233916883820 280700260584 350875325730 374267014112 467833767640 502921300213 561400521168 701750651460 935667535280 1005842600426 1122801042336 1403501302920 1508763900639 1871335070560 2011685200852 2514606501065 2807002605840 3017527801278 4023370401704 5029213002130 5614005211680 6035055602556 7543819503195 8046740803408 10058426004260 12070111205112 15087639006390 16093481606816 20116852008520 24140222410224 30175278012780 40233704017040 48280444820448 60350556025560 80467408034080 120701112051120 241402224102240