Search a number
-
+
452120615040 = 2735792980753
BaseRepresentation
bin1101001010001000111…
…11010001100010000000
31121020000001200221120110
412211010133101202000
524401420334140130
6543411253511320
744443653550623
oct6450437214200
91536001627513
10452120615040
1116481a333966
127375a342540
1333833836263
1417c503c7dba
15bb62528ab0
hex69447d1880

452120615040 has 128 divisors (see below), whose sum is σ = 1459377158400. Its totient is φ = 119039311872.

The previous prime is 452120614999. The next prime is 452120615041. The reversal of 452120615040 is 40516021254.

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

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 = 452120614989 and 452120615007.

It is not an unprimeable number, because it can be changed into a prime (452120615041) 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, 1338697 + ... + 1642056.

It is an arithmetic number, because the mean of its divisors is an integer number (11401384050).

Almost surely, 2452120615040 is an apocalyptic number.

452120615040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452120615040 is an abundant number, since it is smaller than the sum of its proper divisors (1007256543360).

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

452120615040 is a wasteful number, since it uses less digits than its factorization.

452120615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980854 (or 2980842 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 452120615040 its reverse (40516021254), we get a palindrome (492636636294).

The spelling of 452120615040 in words is "four hundred fifty-two billion, one hundred twenty million, six hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 316 320 384 395 474 480 632 640 790 948 960 1185 1264 1580 1896 1920 2370 2528 3160 3792 4740 5056 6320 7584 9480 10112 12640 15168 18960 25280 30336 37920 50560 75840 151680 2980753 5961506 8942259 11923012 14903765 17884518 23846024 29807530 35769036 44711295 47692048 59615060 71538072 89422590 95384096 119230120 143076144 178845180 190768192 235479487 238460240 286152288 357690360 381536384 470958974 476920480 572304576 706438461 715380720 941917948 953840960 1144609152 1177397435 1412876922 1430761440 1883835896 1907681920 2354794870 2825753844 2861522880 3532192305 3767671792 4709589740 5651507688 5723045760 7064384610 7535343584 9419179480 11303015376 14128769220 15070687168 18838358960 22606030752 28257538440 30141374336 37676717920 45212061504 56515076880 75353435840 90424123008 113030153760 150706871680 226060307520 452120615040