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41311444320 = 25325171687559
BaseRepresentation
bin100110011110010110…
…101001110101100000
310221122001202210220100
4212132112221311200
51134101212204240
630551143342400
72661510324426
oct463626516540
9127561683810
1041311444320
111657a262623
12800b151a00
133b84996613
141ddc82b116
15111bbd7e30
hex99e5a9d60

41311444320 has 144 divisors (see below), whose sum is σ = 149268057120. Its totient is φ = 10368356352.

The previous prime is 41311444297. The next prime is 41311444333. The reversal of 41311444320 is 2344411314.

41311444320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819300 + ... + 868259.

It is an arithmetic number, because the mean of its divisors is an integer number (1036583730).

Almost surely, 241311444320 is an apocalyptic number.

41311444320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41311444320 is an abundant number, since it is smaller than the sum of its proper divisors (107956612800).

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

41311444320 is a wasteful number, since it uses less digits than its factorization.

41311444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687597 (or 1687586 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41311444320 its reverse (2344411314), we get a palindrome (43655855634).

The spelling of 41311444320 in words is "forty-one billion, three hundred eleven million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 1687559 3375118 5062677 6750236 8437795 10125354 13500472 15188031 16875590 20250708 25313385 27000944 28688503 30376062 33751180 40501416 50626770 54001888 57377006 60752124 67502360 75940155 81002832 86065509 101253540 114754012 121504248 135004720 143442515 151880310 162005664 172131018 202507080 229508024 243008496 258196527 270009440 286885030 303760620 344262036 405014160 430327545 459016048 486016992 516393054 573770060 607521240 688524072 810028320 860655090 918032096 1032786108 1147540120 1215042480 1290982635 1377048144 1721310180 2065572216 2295080240 2430084960 2581965270 2754096288 3442620360 4131144432 4590160480 5163930540 6885240720 8262288864 10327861080 13770481440 20655722160 41311444320