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450124053240 = 23356165394169
BaseRepresentation
bin1101000110011010111…
…10111111101011111000
31121000211220211002200010
412203031132333223320
524333323224200430
6542441212341520
744343331216011
oct6431536775370
91530756732603
10450124053240
11163995325494
12732a17748a0
13335a5cc3b44
1417b01186008
15ba970e4cb0
hex68cd7bfaf8

450124053240 has 128 divisors (see below), whose sum is σ = 1374625857600. Its totient is φ = 117883269120.

The previous prime is 450124053221. The next prime is 450124053251. The reversal of 450124053240 is 42350421054.

It is a super-2 number, since 2×4501240532402 (a number of 24 digits) contains 22 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 = 450124053198 and 450124053207.

It is a congruent number.

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, 4732876 + ... + 4827044.

Almost surely, 2450124053240 is an apocalyptic number.

450124053240 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 450124053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687312928800).

450124053240 is an abundant number, since it is smaller than the sum of its proper divisors (924501804360).

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

450124053240 is a wasteful number, since it uses less digits than its factorization.

450124053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94897 (or 94893 counting only the distinct ones).

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

Adding to 450124053240 its reverse (42350421054), we get a palindrome (492474474294).

The spelling of 450124053240 in words is "four hundred fifty billion, one hundred twenty-four million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 653 732 915 1220 1306 1464 1830 1959 2440 2612 3265 3660 3918 5224 6530 7320 7836 9795 13060 15672 19590 26120 39180 39833 78360 79666 94169 119499 159332 188338 199165 238998 282507 318664 376676 398330 470845 477996 565014 597495 753352 796660 941690 955992 1130028 1194990 1412535 1593320 1883380 2260056 2389980 2825070 3766760 4779960 5650140 5744309 11300280 11488618 17232927 22977236 28721545 34465854 45954472 57443090 61492357 68931708 86164635 114886180 122984714 137863416 172329270 184477071 229772360 245969428 307461785 344658540 368954142 491938856 614923570 689317080 737908284 922385355 1229847140 1475816568 1844770710 2459694280 3689541420 3751033777 7379082840 7502067554 11253101331 15004135108 18755168885 22506202662 30008270216 37510337770 45012405324 56265506655 75020675540 90024810648 112531013310 150041351080 225062026620 450124053240