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43230240432 = 243528139569
BaseRepresentation
bin101000010000101110…
…010001111010110000
311010120210022202100000
4220100232101322300
51202013420143212
631505410030000
73060166660251
oct502056217260
9133523282300
1043230240432
1117374386535
128465878300
1340cc37b632
1421415c8b28
1511d03aa1dc
hexa10b91eb0

43230240432 has 120 divisors (see below), whose sum is σ = 125915222160. Its totient is φ = 14358435840.

The previous prime is 43230240421. The next prime is 43230240503. The reversal of 43230240432 is 23404203234.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 43230240396 and 43230240405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072744 + ... + 1112312.

It is an arithmetic number, because the mean of its divisors is an integer number (1049293518).

Almost surely, 243230240432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43230240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62957611080).

43230240432 is an abundant number, since it is smaller than the sum of its proper divisors (82684981728).

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

43230240432 is a wasteful number, since it uses less digits than its factorization.

43230240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39873 (or 39855 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 43230240432 its reverse (23404203234), we get a palindrome (66634443666).

The spelling of 43230240432 in words is "forty-three billion, two hundred thirty million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 281 324 432 486 562 648 843 972 1124 1296 1686 1944 2248 2529 3372 3888 4496 5058 6744 7587 10116 13488 15174 20232 22761 30348 39569 40464 45522 60696 68283 79138 91044 118707 121392 136566 158276 182088 237414 273132 316552 356121 364176 474828 546264 633104 712242 949656 1068363 1092528 1424484 1899312 2136726 2848968 3205089 4273452 5697936 6410178 8546904 9615267 11118889 12820356 17093808 19230534 22237778 25640712 33356667 38461068 44475556 51281424 66713334 76922136 88951112 100070001 133426668 153844272 177902224 200140002 266853336 300210003 400280004 533706672 600420006 800560008 900630009 1200840012 1601120016 1801260018 2401680024 2701890027 3602520036 4803360048 5403780054 7205040072 10807560108 14410080144 21615120216 43230240432