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2134116940060 = 22572113169311383
BaseRepresentation
bin11111000011100011010…
…010000011100100011100
321120000112021112022122101
4133003203102003210130
5234431132414040220
64312222204254444
7310120256454100
oct37034322034434
97500467468571
102134116940060
1175308a415a16
122a5733541424
131263283527c1
1475412a2d900
153a7a74b530a
hex1f0e348391c

2134116940060 has 144 divisors (see below), whose sum is σ = 5263047510336. Its totient is φ = 724730001408.

The previous prime is 2134116940057. The next prime is 2134116940069. The reversal of 2134116940060 is 600496114312.

It is a super-2 number, since 2×21341169400602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134116940069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187477129 + ... + 187488511.

It is an arithmetic number, because the mean of its divisors is an integer number (36548941044).

Almost surely, 22134116940060 is an apocalyptic number.

2134116940060 is a gapful number since it is divisible by the number (20) 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 2134116940060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631523755168).

2134116940060 is an abundant number, since it is smaller than the sum of its proper divisors (3128930570276).

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

2134116940060 is a wasteful number, since it uses less digits than its factorization.

2134116940060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13212 (or 13203 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 2134116940060 in words is "two trillion, one hundred thirty-four billion, one hundred sixteen million, nine hundred forty thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 196 226 245 452 490 565 791 980 1130 1582 1693 2260 3164 3386 3955 5537 6772 7910 8465 11074 11383 11851 15820 16930 22148 22766 23702 27685 33860 45532 47404 55370 56915 59255 79681 82957 110740 113830 118510 159362 165914 191309 227660 237020 318724 331828 382618 398405 414785 557767 765236 796810 829570 956545 1115534 1286279 1339163 1593620 1659140 1913090 2231068 2572558 2678326 2788835 3826180 5145116 5356652 5577670 6431395 6695815 9003953 9374141 11155340 12862790 13391630 18007906 18748282 19271419 25725580 26783260 36015812 37496564 38542838 45019765 46870705 63027671 77085676 90039530 93741410 96357095 126055342 134899933 180079060 187482820 192714190 252110684 269799866 315138355 385428380 539599732 630276710 674499665 944299531 1260553420 1348999330 1888599062 2177670347 2697998660 3777198124 4355340694 4721497655 8710681388 9442995310 10888351735 15243692429 18885990620 21776703470 30487384858 43553406940 60974769716 76218462145 106705847003 152436924290 213411694006 304873848580 426823388012 533529235015 1067058470030 2134116940060