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41114320440 = 23352413973581
BaseRepresentation
bin100110010010100110…
…101011111000111000
310221010022211212202220
4212102212223320320
51133200231223230
630515422324040
72653564646304
oct462246537070
9127108755686
1041114320440
1116488a64526
127b75129620
133b52ba847b
141dc0596d04
15110974ad10
hex9929abe38

41114320440 has 128 divisors (see below), whose sum is σ = 124201408320. Its totient is φ = 10887782400.

The previous prime is 41114320409. The next prime is 41114320501. The reversal of 41114320440 is 4402341114.

41114320440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41114320440.

It is a congruent number.

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, 11479450 + ... + 11483030.

Almost surely, 241114320440 is an apocalyptic number.

41114320440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41114320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62100704160).

41114320440 is an abundant number, since it is smaller than the sum of its proper divisors (83087087880).

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

41114320440 is a wasteful number, since it uses less digits than its factorization.

41114320440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4233 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41114320440 its reverse (4402341114), we get a palindrome (45516661554).

The spelling of 41114320440 in words is "forty-one billion, one hundred fourteen million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 397 482 723 794 964 1191 1205 1446 1588 1928 1985 2382 2410 2892 3176 3581 3615 3970 4764 4820 5784 5955 7162 7230 7940 9528 9640 10743 11910 14324 14460 15880 17905 21486 23820 28648 28920 35810 42972 47640 53715 71620 85944 95677 107430 143240 191354 214860 287031 382708 429720 478385 574062 765416 863021 956770 1148124 1421657 1435155 1726042 1913540 2296248 2589063 2843314 2870310 3452084 3827080 4264971 4315105 5178126 5686628 5740620 6904168 7108285 8529942 8630210 10356252 11373256 11481240 12945315 14216570 17059884 17260420 20712504 21324855 25890630 28433140 34119768 34520840 42649710 51781260 56866280 85299420 103562520 170598840 342619337 685238674 1027858011 1370477348 1713096685 2055716022 2740954696 3426193370 4111432044 5139290055 6852386740 8222864088 10278580110 13704773480 20557160220 41114320440