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41415141120 = 283510785193
BaseRepresentation
bin100110100100100010…
…001110011100000000
310221220021220011011120
4212210202032130000
51134304234003440
631005330112240
72664206614443
oct464442163400
9127807804146
1041415141120
1116622849561
128039a1b680
133ba0302982
14200c50165a
151125d6cdd0
hex9a488e700

41415141120 has 72 divisors (see below), whose sum is σ = 132269619216. Its totient is φ = 11044036608.

The previous prime is 41415141101. The next prime is 41415141169. The reversal of 41415141120 is 2114151414.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5388757 + ... + 5396436.

Almost surely, 241415141120 is an apocalyptic number.

41415141120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41415141120 is an abundant number, since it is smaller than the sum of its proper divisors (90854478096).

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

41415141120 is a wasteful number, since it uses less digits than its factorization.

41415141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785217 (or 10785203 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 41415141120 its reverse (2114151414), we get a palindrome (43529292534).

The spelling of 41415141120 in words is "forty-one billion, four hundred fifteen million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 10785193 21570386 32355579 43140772 53925965 64711158 86281544 107851930 129422316 161777895 172563088 215703860 258844632 323555790 345126176 431407720 517689264 647111580 690252352 862815440 1035378528 1294223160 1380504704 1725630880 2070757056 2588446320 2761009408 3451261760 4141514112 5176892640 6902523520 8283028224 10353785280 13805047040 20707570560 41415141120