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4141220133344 = 25789882123549
BaseRepresentation
bin111100010000110011111…
…101000111100111100000
3112122220012202021202222012
4330100303331013213200
51020322204323231334
612450241131332052
7605123203223360
oct74206375074740
915586182252865
104141220133344
111357310892a78
1256a71a2b1028
132406913b0c08
14104616a1c9a0
1572ac8d929ce
hex3c433f479e0

4141220133344 has 96 divisors (see below), whose sum is σ = 9423907416000. Its totient is φ = 1754593505280.

The previous prime is 4141220133341. The next prime is 4141220133359. The reversal of 4141220133344 is 4433310221414.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4141220133344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141220133341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175843682 + ... + 175867230.

It is an arithmetic number, because the mean of its divisors is an integer number (98165702250).

Almost surely, 24141220133344 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 4141220133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711953708000).

4141220133344 is an abundant number, since it is smaller than the sum of its proper divisors (5282687282656).

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

4141220133344 is a wasteful number, since it uses less digits than its factorization.

4141220133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32476 (or 32468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4141220133344 its reverse (4433310221414), we get a palindrome (8574530354758).

The spelling of 4141220133344 in words is "four trillion, one hundred forty-one billion, two hundred twenty million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2848 4984 8821 9968 17642 19936 23549 35284 47098 61747 70568 94196 123494 141136 164843 188392 246988 282272 329686 376784 493976 659372 753568 785069 987952 1318744 1570138 1975904 2095861 2637488 3140276 4191722 5274976 5495483 6280552 8383444 10990966 12561104 14671027 16766888 21981932 25122208 29342054 33533776 43963864 58684108 67067552 87927728 117368216 175855456 207725729 234736432 415451458 469472864 830902916 1454080103 1661805832 2908160206 3323611664 5816320412 6647223328 11632640824 18487589881 23265281648 36975179762 46530563296 73950359524 129413129167 147900719048 258826258334 295801438096 517652516668 591602876192 1035305033336 2070610066672 4141220133344