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14131525133024 = 2513591163495067
BaseRepresentation
bin1100110110100100000010…
…0010010010001011100000
31212000221221021122222120122
43031221000202102023200
53323012330413224044
650015533311055412
72655653236500635
oct315510042221340
955027837588518
1014131525133024
114559167590832
12170294b211568
137b679baaa650
1436bd8030018c
151978d7ac2dee
hexcda408922e0

14131525133024 has 96 divisors (see below), whose sum is σ = 30495634323840. Its totient is φ = 6406169882112.

The previous prime is 14131525132979. The next prime is 14131525133051. The reversal of 14131525133024 is 42033152513141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28297139 + ... + 28792205.

It is an arithmetic number, because the mean of its divisors is an integer number (317662857540).

Almost surely, 214131525133024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14131525133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15247817161920).

14131525133024 is an abundant number, since it is smaller than the sum of its proper divisors (16364109190816).

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

14131525133024 is a wasteful number, since it uses less digits than its factorization.

14131525133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496312 (or 496304 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 14131525133024 its reverse (42033152513141), we get a palindrome (56164677646165).

The spelling of 14131525133024 in words is "fourteen trillion, one hundred thirty-one billion, five hundred twenty-five million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 416 472 767 944 1163 1534 1888 2326 3068 4652 6136 9304 12272 15119 18608 24544 30238 37216 60476 68617 120952 137234 241904 274468 483808 495067 548936 892021 990134 1097872 1784042 1980268 2195744 3568084 3960536 6435871 7136168 7921072 12871742 14272336 15842144 25743484 28544672 29208953 51486968 58417906 102973936 116835812 205947872 233671624 379716389 467343248 575762921 759432778 934686496 1151525842 1518865556 2303051684 3037731112 4606103368 6075462224 7484917973 9212206736 12150924448 14969835946 18424413472 29939671892 33970012339 59879343784 67940024678 119758687568 135880049356 239517375136 271760098712 441610160407 543520197424 883220320814 1087040394848 1766440641628 3532881283256 7065762566512 14131525133024