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41412443140 = 22537149379991
BaseRepresentation
bin100110100100010111…
…111011110000000100
310221220002211002020101
4212210113323300010
51134303041140030
631005152213444
72664144646555
oct464427736004
9127802732211
1041412443140
1116621276522
128038b3a284
133b9c899933
14200bddc32c
1511259d87ca
hex9a45fbc04

41412443140 has 96 divisors (see below), whose sum is σ = 90244224000. Its totient is φ = 15950753280.

The previous prime is 41412443131. The next prime is 41412443183. The reversal of 41412443140 is 4134421414.

It is a junction number, because it is equal to n+sod(n) for n = 41412443099 and 41412443108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41788045 + ... + 41789035.

It is an arithmetic number, because the mean of its divisors is an integer number (940044000).

Almost surely, 241412443140 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 41412443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45122112000).

41412443140 is an abundant number, since it is smaller than the sum of its proper divisors (48831780860).

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

41412443140 is a wasteful number, since it uses less digits than its factorization.

41412443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 41412443140 its reverse (4134421414), we get a palindrome (45546864554).

The spelling of 41412443140 in words is "forty-one billion, four hundred twelve million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 379 596 740 745 758 991 1490 1516 1895 1982 2980 3790 3964 4955 5513 7580 9910 11026 14023 19820 22052 27565 28046 36667 55130 56092 56471 70115 73334 110260 112942 140230 146668 147659 183335 225884 280460 282355 295318 366670 375589 564710 590636 733340 738295 751178 1129420 1476590 1502356 1877945 2089427 2953180 3755890 4178854 5463383 7511780 8357708 10447135 10926766 13896793 20894270 21853532 27316915 27793586 41788540 54633830 55587172 55962761 69483965 109267660 111925522 138967930 223851044 277935860 279813805 559627610 1119255220 2070622157 4141244314 8282488628 10353110785 20706221570 41412443140