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41120434432 = 287112518311
BaseRepresentation
bin100110010010111110…
…000000100100000000
310221010202100111121001
4212102332000210000
51133203312400212
630520201341344
72654000632330
oct462276004400
9127122314531
1041120434432
1116491460010
127b77197854
133b5423930c
141dc13090c0
15110a057657
hex992f80900

41120434432 has 144 divisors (see below), whose sum is σ = 102753874944. Its totient is φ = 15955200000.

The previous prime is 41120434427. The next prime is 41120434469. The reversal of 41120434432 is 23443402114.

It is a super-2 number, since 2×411204344322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 41120434432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4943557 + ... + 4951867.

It is an arithmetic number, because the mean of its divisors is an integer number (713568576).

Almost surely, 241120434432 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 41120434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51376937472).

41120434432 is an abundant number, since it is smaller than the sum of its proper divisors (61633440512).

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

41120434432 is a wasteful number, since it uses less digits than its factorization.

41120434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41120434432 its reverse (23443402114), we get a palindrome (64563836546).

The spelling of 41120434432 in words is "forty-one billion, one hundred twenty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 251 256 308 352 448 502 616 704 896 1004 1232 1408 1757 1792 2008 2464 2761 2816 3514 4016 4928 5522 7028 8032 8311 9856 11044 14056 16064 16622 19327 19712 22088 28112 32128 33244 38654 44176 56224 58177 64256 66488 77308 88352 91421 112448 116354 132976 154616 176704 182842 224896 232708 265952 309232 353408 365684 449792 465416 531904 618464 639947 706816 731368 930832 1063808 1236928 1279894 1462736 1861664 2086061 2127616 2473856 2559788 2925472 3723328 4172122 4947712 5119576 5850944 7446656 8344244 10239152 11701888 14602427 14893312 16688488 20478304 22946671 23403776 29204854 33376976 40956608 45893342 58409708 66753952 81913216 91786684 116819416 133507904 160626697 163826432 183573368 233638832 267015808 321253394 367146736 467277664 534031616 642506788 734293472 934555328 1285013576 1468586944 1869110656 2570027152 2937173888 3738221312 5140054304 5874347776 10280108608 20560217216 41120434432