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6158161440 = 2532519225079
BaseRepresentation
bin1011011110000111…
…00001011000100000
3120220011200000101100
411233003201120200
5100102442131230
62455022434400
7305414336304
oct55703413040
916804600340
106158161440
112680137922
12123a432a00
13771a94712
14425c1dd04
1526097a660
hex16f0e1620

6158161440 has 144 divisors (see below), whose sum is σ = 22120862400. Its totient is φ = 1555739136.

The previous prime is 6158161423. The next prime is 6158161483. The reversal of 6158161440 is 441618516.

6158161440 is a `hidden beast` number, since 6 + 1 + 58 + 161 + 440 = 666.

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

It is a super-2 number, since 2×61581614402 = 75845904642205747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6158161395 and 6158161404.

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, 85180 + ... + 139899.

It is an arithmetic number, because the mean of its divisors is an integer number (153617100).

Almost surely, 26158161440 is an apocalyptic number.

6158161440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6158161440 is an abundant number, since it is smaller than the sum of its proper divisors (15962700960).

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

6158161440 is a wasteful number, since it uses less digits than its factorization.

6158161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225119 (or 225108 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6158161440 is about 78473.9538955442. The cubic root of 6158161440 is about 1832.9488959942.

Adding to 6158161440 its reverse (441618516), we get a palindrome (6599779956).

The spelling of 6158161440 in words is "six billion, one hundred fifty-eight million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 225079 450158 675237 900316 1125395 1350474 1800632 2025711 2250790 2700948 3376185 3601264 4051422 4276501 4501580 5401896 6752370 7202528 8102844 8553002 9003160 10128555 10803792 12829503 13504740 16205688 17106004 18006320 20257110 21382505 21607584 25659006 27009480 32411376 34212008 36012640 38488509 40514220 42765010 51318012 54018960 64147515 64822752 68424016 76977018 81028440 85530020 102636024 108037920 128295030 136848032 153954036 162056880 171060040 192442545 205272048 256590060 307908072 324113760 342120080 384885090 410544096 513180120 615816144 684240160 769770180 1026360240 1231632288 1539540360 2052720480 3079080720 6158161440