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450543023040 = 26351142665059
BaseRepresentation
bin1101000111001100111…
…01001111001111000000
31121001221010011222012010
412203212131033033000
524340203003214130
6542550540332520
744356606336215
oct6434635171700
91531833158163
10450543023040
1116408a877720
1273399b44140
1333641a47976
1417b40a87b0c
15babdca40b0
hex68e674f3c0

450543023040 has 112 divisors (see below), whose sum is σ = 1560517234560. Its totient is φ = 109222548480.

The previous prime is 450543023023. The next prime is 450543023059. The reversal of 450543023040 is 40320345054.

It is a super-2 number, since 2×4505430230402 (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 = 450543022989 and 450543023007.

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, 21321970 + ... + 21343089.

Almost surely, 2450543023040 is an apocalyptic number.

450543023040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450543023040 is an abundant number, since it is smaller than the sum of its proper divisors (1109974211520).

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

450543023040 is a wasteful number, since it uses less digits than its factorization.

450543023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42665090 (or 42665080 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 450543023040 its reverse (40320345054), we get a palindrome (490863368094).

The spelling of 450543023040 in words is "four hundred fifty billion, five hundred forty-three million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 42665059 85330118 127995177 170660236 213325295 255990354 341320472 426650590 469315649 511980708 639975885 682640944 853301180 938631298 1023961416 1279951770 1365281888 1407946947 1706602360 1877262596 2047922832 2346578245 2559903540 2730563776 2815893894 3413204720 3754525192 4095845664 4693156490 5119807080 5631787788 6826409440 7039734735 7509050384 8191691328 9386312980 10239614160 11263575576 13652818880 14079469470 15018100768 18772625960 20479228320 22527151152 28158938940 30036201536 37545251920 40958456640 45054302304 56317877880 75090503840 90108604608 112635755760 150181007680 225271511520 450543023040