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243132435440 = 24567281916091
BaseRepresentation
bin1110001001101111010…
…0101000101111110000
3212020120022120102121022
43202123310220233300
512440413400413230
6303405443515012
723365022413436
oct3423364505760
9766508512538
10243132435440
1194125a15364
123b154688a68
1319c0934511b
14baa66cad56
1564cee601e5
hex389bd28bf0

243132435440 has 80 divisors (see below), whose sum is σ = 573959157120. Its totient is φ = 95761501440.

The previous prime is 243132435437. The next prime is 243132435443. The reversal of 243132435440 is 44534231342.

It is an interprime number because it is at equal distance from previous prime (243132435437) and next prime (243132435443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2431324354402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 243132435440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243132435443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15101795 + ... + 15117885.

It is an arithmetic number, because the mean of its divisors is an integer number (7174489464).

Almost surely, 2243132435440 is an apocalyptic number.

243132435440 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 243132435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286979578560).

243132435440 is an abundant number, since it is smaller than the sum of its proper divisors (330826721680).

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

243132435440 is a wasteful number, since it uses less digits than its factorization.

243132435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18990 (or 18984 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 243132435440 its reverse (44534231342), we get a palindrome (287666666782).

The spelling of 243132435440 in words is "two hundred forty-three billion, one hundred thirty-two million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 2819 5360 5638 11276 14095 16091 22552 28190 32182 45104 56380 64364 80455 112760 128728 160910 188873 225520 257456 321820 377746 643640 755492 944365 1078097 1287280 1510984 1888730 2156194 3021968 3777460 4312388 5390485 7554920 8624776 10780970 15109840 17249552 21561940 43123880 45360529 86247760 90721058 181442116 226802645 362884232 453605290 725768464 907210580 1814421160 3039155443 3628842320 6078310886 12156621772 15195777215 24313243544 30391554430 48626487088 60783108860 121566217720 243132435440