Search a number
-
+
41433231440 = 2455971123637
BaseRepresentation
bin100110100101100111…
…001111000001010000
310221221112221020102102
4212211213033001100
51134323401401230
631011213535532
72664516441056
oct464547170120
9127845836372
1041433231440
1116631a85037
128043aa45a8
133ba3c97ac3
142010a901d6
151127743045
hex9a59cf050

41433231440 has 80 divisors (see below), whose sum is σ = 99345605760. Its totient is φ = 16062789120.

The previous prime is 41433231373. The next prime is 41433231457. The reversal of 41433231440 is 4413233414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 273302 + ... + 396938.

It is an arithmetic number, because the mean of its divisors is an integer number (1241820072).

Almost surely, 241433231440 is an apocalyptic number.

41433231440 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 41433231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49672802880).

41433231440 is an abundant number, since it is smaller than the sum of its proper divisors (57912374320).

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

41433231440 is a wasteful number, since it uses less digits than its factorization.

41433231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123780 (or 123774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 41433231440 its reverse (4413233414), we get a palindrome (45846464854).

The spelling of 41433231440 in words is "forty-one billion, four hundred thirty-three million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 71 80 118 142 236 284 295 355 472 568 590 710 944 1136 1180 1420 2360 2840 4189 4720 5680 8378 16756 20945 33512 41890 67024 83780 123637 167560 247274 335120 494548 618185 989096 1236370 1978192 2472740 4945480 7294583 8778227 9890960 14589166 17556454 29178332 35112908 36472915 43891135 58356664 70225816 72945830 87782270 116713328 140451632 145891660 175564540 291783320 351129080 517915393 583566640 702258160 1035830786 2071661572 2589576965 4143323144 5179153930 8286646288 10358307860 20716615720 41433231440