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243420131040 = 25354311793611
BaseRepresentation
bin1110001010110011111…
…0000110111011100000
3212021022100220212202220
43202230332012323200
512442011023143130
6303454202111040
723405114655222
oct3425476067340
9767270825686
10243420131040
1194263355319
123b214aab480
1319c53b254c8
14bad29ba412
1564ea33d410
hex38acf86ee0

243420131040 has 96 divisors (see below), whose sum is σ = 784605419136. Its totient is φ = 63402447360.

The previous prime is 243420130931. The next prime is 243420131089. The reversal of 243420131040 is 40131024342.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 243420131040.

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, 5876166 + ... + 5917445.

It is an arithmetic number, because the mean of its divisors is an integer number (8172973116).

Almost surely, 2243420131040 is an apocalyptic number.

243420131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243420131040 is an abundant number, since it is smaller than the sum of its proper divisors (541185288096).

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

243420131040 is a wasteful number, since it uses less digits than its factorization.

243420131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11793672 (or 11793664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 243420131040 its reverse (40131024342), we get a palindrome (283551155382).

The spelling of 243420131040 in words is "two hundred forty-three billion, four hundred twenty million, one hundred thirty-one thousand, 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 11793611 23587222 35380833 47174444 58968055 70761666 94348888 117936110 141523332 176904165 188697776 235872220 283046664 353808330 377395552 471744440 507125273 566093328 707616660 943488880 1014250546 1132186656 1415233320 1521375819 1886977760 2028501092 2535626365 2830466640 3042751638 4057002184 5071252730 5660933280 6085503276 7606879095 8114004368 10142505460 12171006552 15213758190 16228008736 20285010920 24342013104 30427516380 40570021840 48684026208 60855032760 81140043680 121710065520 243420131040