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334200132001140 = 223549731981356531
BaseRepresentation
bin100101111111101000000100…
…0001001101101110101110100
31121211022012221211000002021220
41023333100020021231311310
5322301013332243014030
63142441230544510340
7130252106551133406
oct11377201011556564
91554265854002256
10334200132001140
1197539530a31799
123159628401b3b0
1311462c250c8232
145c75530964b76
1528984a443da10
hex12ff40826dd74

334200132001140 has 96 divisors (see below), whose sum is σ = 936012334110336. Its totient is φ = 89096041182720.

The previous prime is 334200132001139. The next prime is 334200132001181. The reversal of 334200132001140 is 41100231002433.

It is a happy number.

It is a super-2 number, since 2×3342001320011402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334200132001140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5911774675 + ... + 5911831205.

It is an arithmetic number, because the mean of its divisors is an integer number (9750128480316).

Almost surely, 2334200132001140 is an apocalyptic number.

334200132001140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334200132001140 is an abundant number, since it is smaller than the sum of its proper divisors (601812202109196).

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

334200132001140 is a wasteful number, since it uses less digits than its factorization.

334200132001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81329 (or 81327 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 334200132001140 its reverse (41100231002433), we get a palindrome (375300363003573).

The spelling of 334200132001140 in words is "three hundred thirty-four trillion, two hundred billion, one hundred thirty-two million, one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4973 9946 14919 19813 19892 24865 29838 39626 49730 56531 59439 59676 74595 79252 99065 99460 113062 118878 149190 169593 198130 226124 237756 282655 297195 298380 339186 396260 565310 594390 678372 847965 1130620 1188780 1695930 3391860 98530049 197060098 281128663 295590147 394120196 492650245 562257326 591180294 843385989 985300490 1120048703 1124514652 1182360588 1405643315 1477950735 1686771978 1970600980 2240097406 2811286630 2955901470 3360146109 3373543956 4216929945 4480194812 5600243515 5622573260 5911802940 6720292218 8433859890 11200487030 13440584436 16800730545 16867719780 22400974060 33601461090 67202922180 5570002200019 11140004400038 16710006600057 22280008800076 27850011000095 33420013200114 55700022000190 66840026400228 83550033000285 111400044000380 167100066000570 334200132001140