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2114500035440 = 2451371179159979
BaseRepresentation
bin11110110001010010000…
…001100000001101110000
321111010220010212022110102
4132301102001200031300
5234120444002113230
64255215442051532
7305524165514252
oct36612201401560
97433803768412
102114500035440
11745833166151
122a1979949ba8
1312452014ac30
14744b158bcd2
153a00a1be045
hex1ec52060370

2114500035440 has 160 divisors (see below), whose sum is σ = 5398979443200. Its totient is φ = 765437137920.

The previous prime is 2114500035421. The next prime is 2114500035449. The reversal of 2114500035440 is 445300054112.

It is a super-2 number, since 2×21145000354402 (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 (2114500035449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13137371 + ... + 13297349.

It is an arithmetic number, because the mean of its divisors is an integer number (33743621520).

Almost surely, 22114500035440 is an apocalyptic number.

2114500035440 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 2114500035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699489721600).

2114500035440 is an abundant number, since it is smaller than the sum of its proper divisors (3284479407760).

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

2114500035440 is a wasteful number, since it uses less digits than its factorization.

2114500035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160255 (or 160249 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 2114500035440 its reverse (445300054112), we get a palindrome (2559800089552).

The spelling of 2114500035440 in words is "two trillion, one hundred fourteen billion, five hundred million, thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 71 80 104 130 142 179 208 260 284 355 358 520 568 710 716 895 923 1040 1136 1420 1432 1790 1846 2327 2840 2864 3580 3692 4615 4654 5680 7160 7384 9230 9308 11635 12709 14320 14768 18460 18616 23270 25418 36920 37232 46540 50836 63545 73840 93080 101672 127090 159979 165217 186160 203344 254180 319958 330434 508360 639916 660868 799895 826085 1016720 1279832 1321736 1599790 1652170 2079727 2559664 2643472 3199580 3304340 4159454 6399160 6608680 8318908 10398635 11358509 12798320 13217360 16637816 20797270 22717018 28636241 33275632 41594540 45434036 56792545 57272482 83189080 90868072 113585090 114544964 143181205 147660617 166378160 181736144 227170180 229089928 286362410 295321234 372271133 454340360 458179856 572724820 590642468 738303085 744542266 908680720 1145449640 1181284936 1476606170 1489084532 1861355665 2033173111 2290899280 2362569872 2953212340 2978169064 3722711330 4066346222 5906424680 5956338128 7445422660 8132692444 10165865555 11812849360 14890845320 16265384888 20331731110 26431250443 29781690640 32530769776 40663462220 52862500886 81326924440 105725001772 132156252215 162653848880 211450003544 264312504430 422900007088 528625008860 1057250017720 2114500035440