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4400402040 = 2332573167443
BaseRepresentation
bin1000001100100100…
…01100111001111000
3102100200010120210100
410012102030321320
533003000331130
62004351515400
7214021541316
oct40622147170
912320116710
104400402040
111958a04201
12a29828b60
13551873cb8
142da5c10b6
151ab4b7c60
hex10648ce78

4400402040 has 96 divisors (see below), whose sum is σ = 14497301520. Its totient is φ = 1157359104.

The previous prime is 4400402023. The next prime is 4400402047. The reversal of 4400402040 is 402040044.

It is a happy number.

It is a super-2 number, since 2×44004020402 = 38727076227272323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400402047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57442 + ... + 110001.

Almost surely, 24400402040 is an apocalyptic number.

4400402040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400402040 is an abundant number, since it is smaller than the sum of its proper divisors (10096899480).

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

4400402040 is a wasteful number, since it uses less digits than its factorization.

4400402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167533 (or 167526 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4400402040 is about 66335.5262284095. The cubic root of 4400402040 is about 1638.6924487606.

Adding to 4400402040 its reverse (402040044), we get a palindrome (4802442084).

The spelling of 4400402040 in words is "four billion, four hundred million, four hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 167443 334886 502329 669772 837215 1004658 1339544 1506987 1674430 2009316 2511645 3013974 3348860 4018632 5023290 6027948 6697720 7534935 10046580 12055896 12223339 15069870 20093160 24446678 30139740 36670017 48893356 60279480 61116695 73340034 97786712 110010051 122233390 146680068 183350085 220020102 244466780 293360136 366700170 440040204 488933560 550050255 733400340 880080408 1100100510 1466800680 2200201020 4400402040