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10243440114660 = 22325229265793529
BaseRepresentation
bin1001010100001111110010…
…0110111111101111100100
31100021021002221202101222100
42111003330212333233210
52320312031132132120
633441434343332100
72105030665233024
oct225037446775744
940237087671870
1010243440114660
11329a244998325
1211952b7451030
13593c4c15984c
14275adc62ba84
1512b6c6dcc490
hex950fc9bfbe4

10243440114660 has 144 divisors (see below), whose sum is σ = 31219532089200. Its totient is φ = 2718603067392.

The previous prime is 10243440114659. The next prime is 10243440114667. The reversal of 10243440114660 is 6641104434201.

10243440114660 is a `hidden beast` number, since 1 + 0 + 2 + 43 + 440 + 114 + 6 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 603011265444 + 9640428849216 = 776538^2 + 3104904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10243440114667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109474776 + ... + 109568304.

It is an arithmetic number, because the mean of its divisors is an integer number (216802306175).

Almost surely, 210243440114660 is an apocalyptic number.

10243440114660 is a gapful number since it is divisible by the number (10) 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 10243440114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609766044600).

10243440114660 is an abundant number, since it is smaller than the sum of its proper divisors (20976091974540).

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

10243440114660 is a wasteful number, since it uses less digits than its factorization.

10243440114660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96430 (or 96425 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 10243440114660 its reverse (6641104434201), we get a palindrome (16884544548861).

The spelling of 10243440114660 in words is "ten trillion, two hundred forty-three billion, four hundred forty million, one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 229 458 687 916 1145 1374 2061 2290 2657 2748 3435 4122 4580 5314 6870 7971 8244 10305 10628 13285 13740 15942 20610 23913 26570 31884 39855 41220 47826 53140 79710 93529 95652 119565 159420 187058 239130 280587 374116 467645 478260 561174 608453 841761 935290 1122348 1216906 1402935 1683522 1825359 1870580 2433812 2805870 3042265 3367044 3650718 4208805 5476077 5611740 6084530 7301436 8417610 9126795 10952154 12169060 16835220 18253590 21418141 21904308 27380385 36507180 42836282 54760770 64254423 85672564 107090705 109521540 128508846 192763269 214181410 248506553 257017692 321272115 385526538 428362820 497013106 642544230 745519659 771053076 963816345 994026212 1242532765 1285088460 1491039318 1927632690 2236558977 2485065530 2982078636 3727598295 3855265380 4473117954 4970131060 7455196590 8946235908 11182794885 14910393180 22365589770 44731179540 56908000637 113816001274 170724001911 227632002548 284540003185 341448003822 512172005733 569080006370 682896007644 853620009555 1024344011466 1138160012740 1707240019110 2048688022932 2560860028665 3414480038220 5121720057330 10243440114660