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45231351240 = 23351793723663
BaseRepresentation
bin101010000111111111…
…111010010111001000
311022202020202201022010
4222013333322113020
51220113211214430
632440132455520
73160606066455
oct520777722710
9138666681263
1045231351240
1118200a11719
128923a7a5a0
13435ab2447a
14229129282c
15129addbcb0
hexa87ffa5c8

45231351240 has 128 divisors (see below), whose sum is σ = 143835471360. Its totient is φ = 11339587584.

The previous prime is 45231351233. The next prime is 45231351259. The reversal of 45231351240 is 4215313254.

It is a super-3 number, since 3×452313512403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45231351198 and 45231351207.

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, 1899649 + ... + 1923311.

It is an arithmetic number, because the mean of its divisors is an integer number (1123714620).

Almost surely, 245231351240 is an apocalyptic number.

45231351240 is a gapful number since it is divisible by the number (40) 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 45231351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71917735680).

45231351240 is an abundant number, since it is smaller than the sum of its proper divisors (98604120120).

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

45231351240 is a wasteful number, since it uses less digits than its factorization.

45231351240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24631 (or 24627 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 45231351240 its reverse (4215313254), we get a palindrome (49446664494).

The spelling of 45231351240 in words is "forty-five billion, two hundred thirty-one million, three hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 937 1020 1874 2040 2811 3748 4685 5622 7496 9370 11244 14055 15929 18740 22488 23663 28110 31858 37480 47326 47787 56220 63716 70989 79645 94652 95574 112440 118315 127432 141978 159290 189304 191148 236630 238935 283956 318580 354945 382296 402271 473260 477870 567912 637160 709890 804542 946520 955740 1206813 1419780 1609084 1911480 2011355 2413626 2839560 3218168 4022710 4827252 6034065 8045420 9654504 12068130 16090840 22172231 24136260 44344462 48272520 66516693 88688924 110861155 133033386 177377848 221722310 266066772 332583465 376927927 443444620 532133544 665166930 753855854 886889240 1130783781 1330333860 1507711708 1884639635 2261567562 2660667720 3015423416 3769279270 4523135124 5653918905 7538558540 9046270248 11307837810 15077117080 22615675620 45231351240