Search a number
-
+
240113253023200 = 25521931509578211
BaseRepresentation
bin110110100110000110111001…
…001001101111110111100000
31011111011121021110002202011201
4312212012321021233313200
5222433003420233220300
62210402301115050544
7101401416151240414
oct6646067111576740
91144147243082151
10240113253023200
116a564505656a57
1222b1b682740a54
13a3c9775c9852b
144341787350d44
151cb5d6b77766a
hexda61b926fde0

240113253023200 has 144 divisors (see below), whose sum is σ = 636931998743040. Its totient is φ = 88055114688000.

The previous prime is 240113253023197. The next prime is 240113253023201. The reversal of 240113253023200 is 2320352311042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240113253023201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254317906 + ... + 255260305.

It is an arithmetic number, because the mean of its divisors is an integer number (4423138880160).

Almost surely, 2240113253023200 is an apocalyptic number.

240113253023200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240113253023200 is an abundant number, since it is smaller than the sum of its proper divisors (396818745719840).

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

240113253023200 is a wasteful number, since it uses less digits than its factorization.

240113253023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509578281 (or 509578268 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 240113253023200 in words is "two hundred forty trillion, one hundred thirteen billion, two hundred fifty-three million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 62 76 80 95 100 124 152 155 160 190 200 248 304 310 380 400 475 496 589 608 620 760 775 800 950 992 1178 1240 1520 1550 1900 2356 2480 2945 3040 3100 3800 4712 4960 5890 6200 7600 9424 11780 12400 14725 15200 18848 23560 24800 29450 47120 58900 94240 117800 235600 471200 509578211 1019156422 2038312844 2547891055 4076625688 5095782110 8153251376 9681986009 10191564220 12739455275 15796924541 16306502752 19363972018 20383128440 25478910550 31593849082 38727944036 40766256880 48409930045 50957821100 63187698164 77455888072 78984622705 81532513760 96819860090 101915642200 126375396328 154911776144 157969245410 193639720180 203831284400 242049650225 252750792656 300141566279 309823552288 315938490820 387279440360 394923113525 407662568800 484099300450 505501585312 600283132558 631876981640 774558880720 789846227050 968198600900 1200566265116 1263753963280 1500707831395 1549117761440 1579692454100 1936397201800 2401132530232 2527507926560 3001415662790 3159384908200 3872794403600 4802265060464 6002831325580 6318769816400 7503539156975 7745588807200 9604530120928 12005662651160 12637539632800 15007078313950 24011325302320 30014156627900 48022650604640 60028313255800 120056626511600 240113253023200