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41300414340 = 22354738338239
BaseRepresentation
bin100110011101101100…
…100100111110000100
310221121022000102121120
4212131230210332010
51134040401224330
630550111113540
72661314505153
oct463554447604
9127538012546
1041300414340
1116574009639
1280075128b0
133b82603cc3
141ddb19959a
15111ac59c10
hex99db24f84

41300414340 has 96 divisors (see below), whose sum is σ = 118413066240. Its totient is φ = 10750690176.

The previous prime is 41300414333. The next prime is 41300414377. The reversal of 41300414340 is 4341400314.

41300414340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41300414340.

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, 1060941 + ... + 1099179.

It is an arithmetic number, because the mean of its divisors is an integer number (1233469440).

Almost surely, 241300414340 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 41300414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59206533120).

41300414340 is an abundant number, since it is smaller than the sum of its proper divisors (77112651900).

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

41300414340 is a wasteful number, since it uses less digits than its factorization.

41300414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38681 (or 38679 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41300414340 its reverse (4341400314), we get a palindrome (45641814654).

The spelling of 41300414340 in words is "forty-one billion, three hundred million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 383 470 564 705 766 940 1149 1410 1532 1915 2298 2820 3830 4596 5745 7660 11490 18001 22980 36002 38239 54003 72004 76478 90005 108006 114717 152956 180010 191195 216012 229434 270015 360020 382390 458868 540030 573585 764780 1080060 1147170 1797233 2294340 3594466 5391699 7188932 8986165 10783398 14645537 17972330 21566796 26958495 29291074 35944660 43936611 53916990 58582148 73227685 87873222 107833980 146455370 175746444 219683055 292910740 439366110 688340239 878732220 1376680478 2065020717 2753360956 3441701195 4130041434 6883402390 8260082868 10325103585 13766804780 20650207170 41300414340