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3412334032044 = 2237211234182241
BaseRepresentation
bin110001101001111110111…
…101010011010010101100
3110002012211102111101121120
4301221332331103102230
5421401430003011134
611131334332500540
7501350550462150
oct61517675232254
913065742441546
103412334032044
1110a6187668993
124713bb91a750
131b9a21587b52
14bb22d1c9060
155db68d90649
hex31a7ef534ac

3412334032044 has 96 divisors (see below), whose sum is σ = 9146699960832. Its totient is φ = 969905664000.

The previous prime is 3412334032031. The next prime is 3412334032087. The reversal of 3412334032044 is 4402304332143.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3412334031996 and 3412334032014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41450764 + ... + 41533004.

It is an arithmetic number, because the mean of its divisors is an integer number (95278124592).

Almost surely, 23412334032044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412334032044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573349980416).

3412334032044 is an abundant number, since it is smaller than the sum of its proper divisors (5734365928788).

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

3412334032044 is a wasteful number, since it uses less digits than its factorization.

3412334032044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84807 (or 84805 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 3412334032044 its reverse (4402304332143), we get a palindrome (7814638364187).

The spelling of 3412334032044 in words is "three trillion, four hundred twelve billion, three hundred thirty-four million, thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2341 2532 2954 4431 4682 5908 7023 8862 9364 14046 16387 17724 28092 32774 49161 65548 82241 98322 164482 196644 246723 328964 493446 493951 575687 986892 987902 1151374 1481853 1727061 1975804 2302748 2963706 3454122 3457657 5927412 6908244 6915314 10372971 13830628 17352851 20745942 34705702 41491884 52058553 69411404 104117106 121469957 192526181 208234212 242939914 364409871 385052362 485879828 577578543 728819742 770104724 1155157086 1347683267 1457639484 2310314172 2695366534 4043049801 5390733068 8086099602 16172199204 40623024191 81246048382 121869072573 162492096764 243738145146 284361169337 487476290292 568722338674 853083508011 1137444677348 1706167016022 3412334032044