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41111014144 = 281015412939
BaseRepresentation
bin100110010010011010…
…000100101100000000
310221010002121220101111
4212102122010230000
51133143404423034
630515223413104
72653524566044
oct462232045400
9127102556344
1041111014144
1116487106452
127b73bb4194
133b522bb595
141dbdd76024
1511092e6364
hex992684b00

41111014144 has 72 divisors (see below), whose sum is σ = 83055364560. Its totient is φ = 20307456000.

The previous prime is 41111014127. The next prime is 41111014169. The reversal of 41111014144 is 44141011114.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13986627 + ... + 13989565.

It is an arithmetic number, because the mean of its divisors is an integer number (1153546730).

Almost surely, 241111014144 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 41111014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41527682280).

41111014144 is an abundant number, since it is smaller than the sum of its proper divisors (41944350416).

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

41111014144 is a wasteful number, since it uses less digits than its factorization.

41111014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 41111014144 its reverse (44141011114), we get a palindrome (85252025258).

The spelling of 41111014144 in words is "forty-one billion, one hundred eleven million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 541 808 1082 1616 2164 2939 3232 4328 5878 6464 8656 11756 12928 17312 23512 25856 34624 47024 54641 69248 94048 109282 138496 188096 218564 296839 376192 437128 593678 752384 874256 1187356 1589999 1748512 2374712 3179998 3497024 4749424 6359996 6994048 9498848 12719992 13988096 18997696 25439984 37995392 50879968 75990784 101759936 160589899 203519872 321179798 407039744 642359596 1284719192 2569438384 5138876768 10277753536 20555507072 41111014144