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134843111040 = 2735116384617
BaseRepresentation
bin111110110010101000…
…1101001011010000000
3110220001110002202222210
41331211101221122000
54202124314023130
6141540203502120
712512352350421
oct1754521513200
9426043082883
10134843111040
115220646a140
1222172827940
13c93c391a01
1467527ab648
1537931295b0
hex1f65469680

134843111040 has 128 divisors (see below), whose sum is σ = 468886345920. Its totient is φ = 32689233920.

The previous prime is 134843110993. The next prime is 134843111041. The reversal of 134843111040 is 40111348431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134843110989 and 134843111007.

It is not an unprimeable number, because it can be changed into a prime (134843111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3171189 + ... + 3213428.

Almost surely, 2134843111040 is an apocalyptic number.

134843111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134843111040 is an abundant number, since it is smaller than the sum of its proper divisors (334043234880).

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

134843111040 is a wasteful number, since it uses less digits than its factorization.

134843111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384650 (or 6384638 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 134843111040 its reverse (40111348431), we get a palindrome (174954459471).

The spelling of 134843111040 in words is "one hundred thirty-four billion, eight hundred forty-three million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 6384617 12769234 19153851 25538468 31923085 38307702 51076936 63846170 70230787 76615404 95769255 102153872 127692340 140461574 153230808 191538510 204307744 210692361 255384680 280923148 306461616 351153935 383077020 408615488 421384722 510769360 561846296 612923232 702307870 766154040 817230976 842769444 1021538720 1053461805 1123692592 1225846464 1404615740 1532308080 1685538888 2043077440 2106923610 2247385184 2451692928 2809231480 3064616160 3371077776 4086154880 4213847220 4494770368 5618462960 6129232320 6742155552 8427694440 8989540736 11236925920 12258464640 13484311104 16855388880 22473851840 26968622208 33710777760 44947703680 67421555520 134843111040