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13452410434000 = 2453107626310037
BaseRepresentation
bin1100001111000010001000…
…1001010011000111010000
31202122001000121112210201111
43003300202021103013100
53230401014032342000
644335541350143104
72555622162006466
oct303604211230720
952561017483644
1013452410434000
114317153a9395a
121613201051a94
13767731566385
14347158ad2836
15184ddc35ccba
hexc3c222531d0

13452410434000 has 160 divisors (see below), whose sum is σ = 32840441577216. Its totient is φ = 5329292633600.

The previous prime is 13452410433989. The next prime is 13452410434013. The reversal of 13452410434000 is 43401425431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340276982 + ... + 1340287018.

Almost surely, 213452410434000 is an apocalyptic number.

13452410434000 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 13452410434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420220788608).

13452410434000 is an abundant number, since it is smaller than the sum of its proper divisors (19388031143216).

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

13452410434000 is a wasteful number, since it uses less digits than its factorization.

13452410434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16430 (or 16414 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 13452410434000 its reverse (43401425431), we get a palindrome (13495811859431).

The spelling of 13452410434000 in words is "thirteen trillion, four hundred fifty-two billion, four hundred ten million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 400 428 500 535 856 1000 1070 1712 2000 2140 2675 4280 5350 6263 8560 10037 10700 12526 13375 20074 21400 25052 26750 31315 40148 42800 50104 50185 53500 62630 80296 100208 100370 107000 125260 156575 160592 200740 214000 250520 250925 313150 401480 501040 501850 626300 670141 782875 802960 1003700 1073959 1252600 1254625 1340282 1565750 2007400 2147918 2505200 2509250 2680564 3131500 3350705 4014800 4295836 5018500 5361128 5369795 6263000 6701410 8591672 10037000 10722256 10739590 12526000 13402820 16753525 17183344 20074000 21479180 26805640 26848975 33507050 42958360 53611280 53697950 62861731 67014100 83767625 85916720 107395900 125723462 134028200 134244875 167535250 214791800 251446924 268056400 268489750 314308655 335070500 429583600 502893848 536979500 628617310 670141000 1005787696 1073959000 1257234620 1340282000 1571543275 2147918000 2514469240 3143086550 5028938480 6286173100 6726205217 7857716375 12572346200 13452410434 15715432750 25144692400 26904820868 31430865500 33631026085 53809641736 62861731000 67262052170 107619283472 125723462000 134524104340 168155130425 269048208680 336310260850 538096417360 672620521700 840775652125 1345241043400 1681551304250 2690482086800 3363102608500 6726205217000 13452410434000