Search a number
-
+
45046272202240 = 29517596200079
BaseRepresentation
bin10100011111000001001110…
…00011011001011000000000
312220111101022011100120011211
422033200213003121120000
521401014231140432430
6235445545522415504
712326325422040451
oct1217404703313000
9186441264316154
1045046272202240
1113398020338a91
125076329501594
131c19acacc434a
14b1a373457128
15531b548ca72a
hex28f8270d9600

45046272202240 has 40 divisors (see below), whose sum is σ = 108005476091040. Its totient is φ = 18018508879872.

The previous prime is 45046272202193. The next prime is 45046272202247. The reversal of 45046272202240 is 4220227264054.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×450462722022402 (a number of 28 digits) contains 22 as substring.

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 = 45046272202193 and 45046272202202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45046272202247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8798097480 + ... + 8798102599.

It is an arithmetic number, because the mean of its divisors is an integer number (2700136902276).

Almost surely, 245046272202240 is an apocalyptic number.

45046272202240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45046272202240 is an abundant number, since it is smaller than the sum of its proper divisors (62959203888800).

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

45046272202240 is an equidigital number, since it uses as much as digits as its factorization.

45046272202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17596200102 (or 17596200086 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 40.

Adding to 45046272202240 its reverse (4220227264054), we get a palindrome (49266499466294).

The spelling of 45046272202240 in words is "forty-five trillion, forty-six billion, two hundred seventy-two million, two hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 17596200079 35192400158 70384800316 87981000395 140769600632 175962000790 281539201264 351924001580 563078402528 703848003160 1126156805056 1407696006320 2252313610112 2815392012640 4504627220224 5630784025280 9009254440448 11261568050560 22523136101120 45046272202240