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40320420230304 = 25321759139582711
BaseRepresentation
bin10010010101011110101000…
…10100110011010010100000
312021202121001102010012220200
421022233110110303102200
520241102210034332204
6221430540105505200
711331024413053254
oct1112572424632240
9167677042105820
1040320420230304
1111935881083665
12463244b1a2200
131966278b76786
149d5739652264
1549dc5eea4539
hex24abd45334a0

40320420230304 has 144 divisors (see below), whose sum is σ = 123463700418240. Its totient is φ = 12435144468480.

The previous prime is 40320420230297. The next prime is 40320420230327. The reversal of 40320420230304 is 40303202402304.

40320420230304 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 0 + 420 + 230 + 3 + 0 + 4 = 666.

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

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, 69502492 + ... + 70080219.

It is an arithmetic number, because the mean of its divisors is an integer number (857386808460).

Almost surely, 240320420230304 is an apocalyptic number.

It is an amenable number.

40320420230304 is an abundant number, since it is smaller than the sum of its proper divisors (83143280187936).

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

40320420230304 is a wasteful number, since it uses less digits than its factorization.

40320420230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139582803 (or 139582792 counting only the distinct ones).

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

Adding to 40320420230304 its reverse (40303202402304), we get a palindrome (80623622632608).

The spelling of 40320420230304 in words is "forty trillion, three hundred twenty billion, four hundred twenty million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 68 72 96 102 118 136 144 153 177 204 236 272 288 306 354 408 472 531 544 612 708 816 944 1003 1062 1224 1416 1632 1888 2006 2124 2448 2832 3009 4012 4248 4896 5664 6018 8024 8496 9027 12036 16048 16992 18054 24072 32096 36108 48144 72216 96288 144432 288864 139582711 279165422 418748133 558330844 837496266 1116661688 1256244399 1674992532 2233323376 2372906087 2512488798 3349985064 4466646752 4745812174 5024977596 6699970128 7118718261 8235379949 9491624348 10049955192 13399940256 14237436522 16470759898 18983248696 20099910384 21356154783 24706139847 28474873044 32941519796 37966497392 40199820768 42712309566 49412279694 56949746088 65883039592 74118419541 75932994784 85424619132 98824559388 113899492176 131766079184 140001459133 148236839082 170849238264 197649118776 227798984352 263532158368 280002918266 296473678164 341698476528 395298237552 420004377399 560005836532 592947356328 683396953056 790596475104 840008754798 1120011673064 1185894712656 1260013132197 1680017509596 2240023346128 2371789425312 2520026264394 3360035019192 4480046692256 5040052528788 6720070038384 10080105057576 13440140076768 20160210115152 40320420230304