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243305554440 = 233513683228353
BaseRepresentation
bin1110001010011000100…
…1000010001000001000
3212021000101022210020010
43202212021002020020
512441242210220230
6303434550231520
723402224042524
oct3424611021010
9767011283203
10243305554440
1194204708213
123b1a26555a0
1319c36179cc0
14bac16b2d84
1564e02599b0
hex38a6242208

243305554440 has 128 divisors (see below), whose sum is σ = 787218445440. Its totient is φ = 59802648576.

The previous prime is 243305554439. The next prime is 243305554469. The reversal of 243305554440 is 44455503342.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951304 + ... + 1179656.

It is an arithmetic number, because the mean of its divisors is an integer number (6150144105).

Almost surely, 2243305554440 is an apocalyptic number.

243305554440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243305554440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393609222720).

243305554440 is an abundant number, since it is smaller than the sum of its proper divisors (543912891000).

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

243305554440 is a wasteful number, since it uses less digits than its factorization.

243305554440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229063 (or 229059 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 243305554440 in words is "two hundred forty-three billion, three hundred five million, five hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 683 780 1366 1560 2049 2732 3415 4098 5464 6830 8196 8879 10245 13660 16392 17758 20490 26637 27320 35516 40980 44395 53274 71032 81960 88790 106548 133185 177580 213096 228353 266370 355160 456706 532740 685059 913412 1065480 1141765 1370118 1826824 2283530 2740236 2968589 3425295 4567060 5480472 5937178 6850590 8905767 9134120 11874356 13701180 14842945 17811534 23748712 27402360 29685890 35623068 44528835 59371780 71246136 89057670 118743560 155965099 178115340 311930198 356230680 467895297 623860396 779825495 935790594 1247720792 1559650990 1871581188 2027546287 2339476485 3119301980 3743162376 4055092574 4678952970 6082638861 6238603960 8110185148 9357905940 10137731435 12165277722 16220370296 18715811880 20275462870 24330555444 30413194305 40550925740 48661110888 60826388610 81101851480 121652777220 243305554440