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45431401440 = 2535167566759
BaseRepresentation
bin101010010011111011…
…000010101111100000
311100021012012022120210
4222103323002233200
51221020414321230
632512040334120
73165555353265
oct522373025740
9140235168523
1045431401440
11182a3929367
12897aa74340
1343903c8579
1422ada8926c
1512ad755eb0
hexa93ec2be0

45431401440 has 96 divisors (see below), whose sum is σ = 143966108160. Its totient is φ = 12042473984.

The previous prime is 45431401423. The next prime is 45431401469. The reversal of 45431401440 is 4410413454.

45431401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 45431401398 and 45431401407.

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, 203220 + ... + 363539.

It is an arithmetic number, because the mean of its divisors is an integer number (1499646960).

Almost surely, 245431401440 is an apocalyptic number.

45431401440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45431401440 is an abundant number, since it is smaller than the sum of its proper divisors (98534706720).

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

45431401440 is a wasteful number, since it uses less digits than its factorization.

45431401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566944 (or 566936 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 45431401440 its reverse (4410413454), we get a palindrome (49841814894).

The spelling of 45431401440 in words is "forty-five billion, four hundred thirty-one million, four hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 668 835 1002 1336 1670 2004 2505 2672 3340 4008 5010 5344 6680 8016 10020 13360 16032 20040 26720 40080 80160 566759 1133518 1700277 2267036 2833795 3400554 4534072 5667590 6801108 8501385 9068144 11335180 13602216 17002770 18136288 22670360 27204432 34005540 45340720 54408864 68011080 90681440 94648753 136022160 189297506 272044320 283946259 378595012 473243765 567892518 757190024 946487530 1135785036 1419731295 1514380048 1892975060 2271570072 2839462590 3028760096 3785950120 4543140144 5678925180 7571900240 9086280288 11357850360 15143800480 22715700720 45431401440