Search a number
-
+
450212543040 = 26351336074723
BaseRepresentation
bin1101000110100101100…
…00100011101001000000
31121001002002022211212010
412203102300203221000
524334013402334130
6542454053132520
744345454321531
oct6432260435100
91531062284763
10450212543040
11163a30275157
127330732a140
13335bb437580
1417b0cc1c688
15ba9ec740b0
hex68d2c23a40

450212543040 has 112 divisors (see below), whose sum is σ = 1539380622528. Its totient is φ = 110821545984.

The previous prime is 450212543009. The next prime is 450212543041. The reversal of 450212543040 is 40345212054.

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 = 450212542989 and 450212543007.

It is not an unprimeable number, because it can be changed into a prime (450212543041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18024882 + ... + 18049841.

It is an arithmetic number, because the mean of its divisors is an integer number (13744469844).

Almost surely, 2450212543040 is an apocalyptic number.

450212543040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450212543040 is an abundant number, since it is smaller than the sum of its proper divisors (1089168079488).

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

450212543040 is a wasteful number, since it uses less digits than its factorization.

450212543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36074756 (or 36074746 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 450212543040 its reverse (40345212054), we get a palindrome (490557755094).

The spelling of 450212543040 in words is "four hundred fifty billion, two hundred twelve million, five hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 36074723 72149446 108224169 144298892 180373615 216448338 288597784 360747230 432896676 468971399 541120845 577195568 721494460 865793352 937942798 1082241690 1154391136 1406914197 1442988920 1731586704 1875885596 2164483380 2308782272 2344856995 2813828394 2885977840 3463173408 3751771192 4328966760 4689713990 5627656788 5771955680 6926346816 7034570985 7503542384 8657933520 9379427980 11255313576 11543911360 14069141970 15007084768 17315867040 18758855960 22510627152 28138283940 30014169536 34631734080 37517711920 45021254304 56276567880 75035423840 90042508608 112553135760 150070847680 225106271520 450212543040