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440323212042 = 2327311071053551
BaseRepresentation
bin1100110100001010100…
…11110000001100001010
31120002112212210210001200
412122011103300030022
524203240220241132
6534140502325030
743545422355660
oct6320523601412
91502485723050
10440323212042
1115a815a7942a
1271407429776
13326a3657b1c
1417451666c30
15b6c1976d7c
hex66854f030a

440323212042 has 96 divisors (see below), whose sum is σ = 1136015622144. Its totient is φ = 120610404000.

The previous prime is 440323212031. The next prime is 440323212059. The reversal of 440323212042 is 240212323044.

440323212042 is a `hidden beast` number, since 4 + 403 + 2 + 3 + 212 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 440323211997 and 440323212015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108834 + ... + 944717.

It is an arithmetic number, because the mean of its divisors is an integer number (11833496064).

Almost surely, 2440323212042 is an apocalyptic number.

440323212042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 440323212042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568007811072).

440323212042 is an abundant number, since it is smaller than the sum of its proper divisors (695692410102).

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

440323212042 is a wasteful number, since it uses less digits than its factorization.

440323212042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053704 (or 1053701 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 440323212042 its reverse (240212323044), we get a palindrome (680535535086).

The spelling of 440323212042 in words is "four hundred forty billion, three hundred twenty-three million, two hundred twelve thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 107 126 186 214 217 279 321 434 558 642 651 749 963 1302 1498 1926 1953 2247 3317 3906 4494 6634 6741 9951 13482 19902 23219 29853 46438 59706 69657 139314 208971 417942 1053551 2107102 3160653 6321306 7374857 9481959 14749714 18963918 22124571 32660081 44249142 65320162 66373713 97980243 112729957 132747426 195960486 225459914 228620567 293940729 338189871 457241134 587881458 676379742 685861701 789109699 1014569613 1371723402 1578219398 2029139226 2057585103 2367329097 3494628667 4115170206 4734658194 6989257334 7101987291 10483886001 14203974582 20967772002 24462400669 31451658003 48924801338 62903316006 73387202007 146774404014 220161606021 440323212042