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231014200313424 = 2431117179143781431
BaseRepresentation
bin110100100001101100101111…
…010110010000011001010000
31010021221202000211010220110210
4310201230233112100121100
5220234414040240012144
62135154243013124120
766442140145312533
oct6441545726203120
91107852024126423
10231014200313424
1167676632604a10
1221ab0124329640
139bb971293c688
14410920b354a1a
151ba93220ceab9
hexd21b2f590650

231014200313424 has 160 divisors (see below), whose sum is σ = 693187537443840. Its totient is φ = 65518322022400.

The previous prime is 231014200313419. The next prime is 231014200313431. The reversal of 231014200313424 is 424313002410132.

It is a junction number, because it is equal to n+sod(n) for n = 231014200313391 and 231014200313400.

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, 70284012 + ... + 73497419.

It is an arithmetic number, because the mean of its divisors is an integer number (4332422109024).

Almost surely, 2231014200313424 is an apocalyptic number.

231014200313424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231014200313424 is an abundant number, since it is smaller than the sum of its proper divisors (462173337130416).

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

231014200313424 is a wasteful number, since it uses less digits than its factorization.

231014200313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143781649 (or 143781643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 231014200313424 its reverse (424313002410132), we get a palindrome (655327202723556).

The spelling of 231014200313424 in words is "two hundred thirty-one trillion, fourteen billion, two hundred million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 179 187 204 264 272 358 374 408 528 537 561 716 748 816 1074 1122 1432 1496 1969 2148 2244 2864 2992 3043 3938 4296 4488 5907 6086 7876 8592 8976 9129 11814 12172 15752 18258 23628 24344 31504 33473 36516 47256 48688 66946 73032 94512 100419 133892 146064 200838 267784 401676 535568 803352 1606704 143781431 287562862 431344293 575125724 862688586 1150251448 1581595741 1725377172 2300502896 2444284327 3163191482 3450754344 4744787223 4888568654 6326382964 6901508688 7332852981 9489574446 9777137308 12652765928 14665705962 18979148892 19554274616 25305531856 25736876149 26887127597 29331411924 37958297784 39108549232 51473752298 53774255194 58662823848 75916595568 77210628447 80661382791 102947504596 107548510388 117325647696 154421256894 161322765582 205895009192 215097020776 283105637639 308842513788 322645531164 411790018384 430194041552 437526894533 566211275278 617685027576 645291062328 849316912917 875053789066 1132422550556 1235370055152 1290582124656 1312580683599 1698633825834 1750107578132 2264845101112 2625161367198 3397267651668 3500215156264 4529690202224 4812795839863 5250322734396 6794535303336 7000430312528 9625591679726 10500645468792 13589070606672 14438387519589 19251183359452 21001290937584 28876775039178 38502366718904 57753550078356 77004733437808 115507100156712 231014200313424