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10134453431040 = 28353607731683
BaseRepresentation
bin1001001101111001110001…
…1111110010101100000000
31022212211210111002020100120
42103132130133302230000
52312020330034243130
633315411552420240
72064122126554521
oct223363437625400
938784714066316
1010134453431040
113257aa7836874
12117815bb47680
135868a0880043
1427071dc60848
15128948c46910
hex9379c7f2b00

10134453431040 has 144 divisors (see below), whose sum is σ = 32375928254208. Its totient is φ = 2701767979008.

The previous prime is 10134453431023. The next prime is 10134453431071. The reversal of 10134453431040 is 4013435443101.

10134453431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10134453430992 and 10134453431010.

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, 13485039 + ... + 14216721.

Almost surely, 210134453431040 is an apocalyptic number.

10134453431040 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 10134453431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16187964127104).

10134453431040 is an abundant number, since it is smaller than the sum of its proper divisors (22241474823168).

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

10134453431040 is an equidigital number, since it uses as much as digits as its factorization.

10134453431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735314 (or 735300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10134453431040 its reverse (4013435443101), we get a palindrome (14147888874141).

The spelling of 10134453431040 in words is "ten trillion, one hundred thirty-four billion, four hundred fifty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3607 3840 7214 10821 14428 18035 21642 28856 36070 43284 54105 57712 72140 86568 108210 115424 144280 173136 216420 230848 288560 346272 432840 461696 577120 692544 731683 865680 923392 1154240 1385088 1463366 1731360 2195049 2308480 2770176 2926732 3462720 3658415 4390098 4616960 5853464 6925440 7316830 8780196 10975245 11706928 13850880 14633660 17560392 21950490 23413856 29267320 35120784 43900980 46827712 58534640 70241568 87801960 93655424 117069280 140483136 175603920 187310848 234138560 280966272 351207840 468277120 561932544 702415680 936554240 1404831360 2639180581 2809662720 5278361162 7917541743 10556722324 13195902905 15835083486 21113444648 26391805810 31670166972 39587708715 42226889296 52783611620 63340333944 79175417430 84453778592 105567223240 126680667888 158350834860 168907557184 211134446480 253361335776 316701669720 337815114368 422268892960 506722671552 633403339440 675630228736 844537785920 1013445343104 1266806678880 1689075571840 2026890686208 2533613357760 3378151143680 5067226715520 10134453431040