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54430132320 = 25325311219313
BaseRepresentation
bin110010101100010010…
…011110100001100000
312012111022220012200200
4302230102132201200
51342433103213240
641001014345200
73634554330264
oct625422364140
9165438805620
1054430132320
11210a1433033
12a67065b200
135195822cb5
1428c4c500a4
151638781930
hexcac49e860

54430132320 has 144 divisors (see below), whose sum is σ = 191734687872. Its totient is φ = 14046474240.

The previous prime is 54430132319. The next prime is 54430132423. The reversal of 54430132320 is 2323103445.

54430132320 is a `hidden beast` number, since 5 + 4 + 4 + 301 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 565017 + ... + 654296.

It is an arithmetic number, because the mean of its divisors is an integer number (1331490888).

Almost surely, 254430132320 is an apocalyptic number.

It is an amenable number.

54430132320 is an abundant number, since it is smaller than the sum of its proper divisors (137304555552).

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

54430132320 is a wasteful number, since it uses less digits than its factorization.

54430132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219365 (or 1219354 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 54430132320 its reverse (2323103445), we get a palindrome (56753235765).

The spelling of 54430132320 in words is "fifty-four billion, four hundred thirty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 1219313 2438626 3657939 4877252 6096565 7315878 9754504 10973817 12193130 14631756 18289695 19509008 21947634 24386260 29263512 36579390 37798703 39018016 43895268 48772520 54869085 58527024 73158780 75597406 87790536 97545040 109738170 113396109 117054048 146317560 151194812 175581072 188993515 195090080 219476340 226792218 292635120 302389624 340188327 351162144 377987030 438952680 453584436 566980545 585270240 604779248 680376654 755974060 877905360 907168872 1133961090 1209558496 1360753308 1511948120 1700941635 1755810720 1814337744 2267922180 2721506616 3023896240 3401883270 3628675488 4535844360 5443013232 6047792480 6803766540 9071688720 10886026464 13607533080 18143377440 27215066160 54430132320