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134078493036544 = 2127413633489
BaseRepresentation
bin11110011111000110010100…
…111100110001000000000000
3122120201210000201012101110121
4132133012110330301000000
5120033220223204132134
61153054450454110024
740145565022420000
oct3637062474610000
9576653021171417
10134078493036544
11397a3407999a31
121305538804b314
1359a7717225a74
142517610080000
151077a5159eab4
hex79f194f31000

134078493036544 has 130 divisors (see below), whose sum is σ = 312793038368590. Its totient is φ = 57462207086592.

The previous prime is 134078493036529. The next prime is 134078493036559. The reversal of 134078493036544 is 445630394870431.

It is an interprime number because it is at equal distance from previous prime (134078493036529) and next prime (134078493036559).

It can be written as a sum of positive squares in only one way, i.e., 126889230598144 + 7189262438400 = 11264512^2 + 2681280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3017752 + ... + 16651240.

It is an arithmetic number, because the mean of its divisors is an integer number (2406100295143).

Almost surely, 2134078493036544 is an apocalyptic number.

134078493036544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134078493036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396519184295).

134078493036544 is an abundant number, since it is smaller than the sum of its proper divisors (178714545332046).

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

134078493036544 is an frugal number, since it uses more digits than its factorization.

134078493036544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633541 (or 13633498 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 61.

The spelling of 134078493036544 in words is "one hundred thirty-four trillion, seventy-eight billion, four hundred ninety-three million, thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 9604 10976 12544 14336 19208 21952 25088 28672 38416 43904 50176 76832 87808 100352 153664 175616 200704 307328 351232 614656 702464 1229312 1404928 2458624 4917248 9834496 13633489 27266978 54533956 95434423 109067912 190868846 218135824 381737692 436271648 668040961 763475384 872543296 1336081922 1526950768 1745086592 2672163844 3053901536 3490173184 4676286727 5344327688 6107803072 6980346368 9352573454 10688655376 12215606144 13960692736 18705146908 21377310752 24431212288 27921385472 32734007089 37410293816 42754621504 48862424576 55842770944 65468014178 74820587632 85509243008 97724849152 130936028356 149641175264 171018486016 195449698304 261872056712 299282350528 342036972032 390899396608 523744113424 598564701056 684073944064 1047488226848 1197129402112 1368147888128 2094976453696 2394258804224 2736295776256 4189952907392 4788517608448 8379905814784 9577035216896 16759811629568 19154070433792 33519623259136 67039246518272 134078493036544