Search a number
-
+
440422024440 = 233529126558053
BaseRepresentation
bin1100110100010110011…
…00101100010011111000
31120002210202201222012010
412122023030230103320
524203441014240230
6534154352245520
743551032303526
oct6321314542370
91502722658163
10440422024440
1115a866829672
12714345408a0
13326bac73bb8
1417460829316
15b6ca4949b0
hex668b32c4f8

440422024440 has 64 divisors (see below), whose sum is σ = 1366826983200. Its totient is φ = 113396014592.

The previous prime is 440422024439. The next prime is 440422024463. The reversal of 440422024440 is 44420224044.

It is a super-2 number, since 2×4404220244402 (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 = 440422024398 and 440422024407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63275547 + ... + 63282506.

Almost surely, 2440422024440 is an apocalyptic number.

440422024440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440422024440 is an abundant number, since it is smaller than the sum of its proper divisors (926404958760).

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

440422024440 is a wasteful number, since it uses less digits than its factorization.

440422024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126558096 (or 126558092 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 440422024440 its reverse (44420224044), we get a palindrome (484842248484).

The spelling of 440422024440 in words is "four hundred forty billion, four hundred twenty-two million, twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 126558053 253116106 379674159 506232212 632790265 759348318 1012464424 1265580530 1518696636 1898370795 2531161060 3037393272 3670183537 3796741590 5062322120 7340367074 7593483180 11010550611 14680734148 15186966360 18350917685 22021101222 29361468296 36701835370 44042202444 55052753055 73403670740 88084404888 110105506110 146807341480 220211012220 440422024440