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243121225440 = 2535795163703
BaseRepresentation
bin1110001001101100100…
…1110111111011100000
3212020112112110220101010
43202123021313323200
512440403013203230
6303404403340520
723364525214302
oct3423311677340
9766475426333
10243121225440
119411a6590a5
123b150981740
1319c06c1b8a2
14baa500d972
1564cde989b0
hex389b277ee0

243121225440 has 96 divisors (see below), whose sum is σ = 765940202496. Its totient is φ = 64823155200.

The previous prime is 243121225439. The next prime is 243121225489. The reversal of 243121225440 is 44522121342.

It is a happy number.

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 = 243121225398 and 243121225407.

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, 3784629 + ... + 3848331.

It is an arithmetic number, because the mean of its divisors is an integer number (7978543776).

Almost surely, 2243121225440 is an apocalyptic number.

243121225440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243121225440 is an abundant number, since it is smaller than the sum of its proper divisors (522818977056).

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

243121225440 is a wasteful number, since it uses less digits than its factorization.

243121225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71672 (or 71664 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 243121225440 its reverse (44522121342), we get a palindrome (287643346782).

The spelling of 243121225440 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7951 15902 23853 31804 39755 47706 63608 63703 79510 95412 119265 127216 127406 159020 190824 191109 238530 254432 254812 318040 318515 381648 382218 477060 509624 636080 637030 763296 764436 954120 955545 1019248 1272160 1274060 1528872 1908240 1911090 2038496 2548120 3057744 3816480 3822180 5096240 6115488 7644360 10192480 15288720 30577440 506502553 1013005106 1519507659 2026010212 2532512765 3039015318 4052020424 5065025530 6078030636 7597538295 8104040848 10130051060 12156061272 15195076590 16208081696 20260102120 24312122544 30390153180 40520204240 48624245088 60780306360 81040408480 121560612720 243121225440