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455232346240 = 2757163623401
BaseRepresentation
bin1101001111111011111…
…01100101100010000000
31121112000220222021022011
412213331331211202000
524424303440034430
6545044133022304
744614040045350
oct6477575454200
91545026867264
10455232346240
11166076878641
1274288484994
1333c0b40ab19
1418067796b60
15bc957dd22a
hex69fdf65880

455232346240 has 128 divisors (see below), whose sum is σ = 1251392238720. Its totient is φ = 155121868800.

The previous prime is 455232346223. The next prime is 455232346259. The reversal of 455232346240 is 42643232554.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 455232346193 and 455232346202.

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, 418540 + ... + 1041940.

It is an arithmetic number, because the mean of its divisors is an integer number (9776501865).

Almost surely, 2455232346240 is an apocalyptic number.

455232346240 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 455232346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625696119360).

455232346240 is an abundant number, since it is smaller than the sum of its proper divisors (796159892480).

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

455232346240 is a wasteful number, since it uses less digits than its factorization.

455232346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623590 (or 623578 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 455232346240 its reverse (42643232554), we get a palindrome (497875578794).

The spelling of 455232346240 in words is "four hundred fifty-five billion, two hundred thirty-two million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 163 224 280 320 326 448 560 640 652 815 896 1120 1141 1304 1630 2240 2282 2608 3260 4480 4564 5216 5705 6520 9128 10432 11410 13040 18256 20864 22820 26080 36512 45640 52160 73024 91280 104320 146048 182560 365120 623401 730240 1246802 2493604 3117005 4363807 4987208 6234010 8727614 9974416 12468020 17455228 19948832 21819035 24936040 34910456 39897664 43638070 49872080 69820912 79795328 87276140 99744160 101614363 139641824 174552280 199488320 203228726 279283648 349104560 398976640 406457452 508071815 558567296 698209120 711300541 812914904 1016143630 1396418240 1422601082 1625829808 2032287260 2792836480 2845202164 3251659616 3556502705 4064574520 5690404328 6503319232 7113005410 8129149040 11380808656 13006638464 14226010820 16258298080 22761617312 28452021640 32516596160 45523234624 56904043280 65033192320 91046469248 113808086560 227616173120 455232346240