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12453043440 = 243567823941
BaseRepresentation
bin10111001100100001…
…00101110011110000
31012010212121011010010
423212100211303300
5201000434342230
65415411534520
7620412060045
oct134620456360
935125534103
1012453043440
115310466942
1224b65ba440
131235c88876
14861c6d1cc
154cd4109b0
hex2e6425cf0

12453043440 has 160 divisors (see below), whose sum is σ = 39269915136. Its totient is φ = 3263800320.

The previous prime is 12453043429. The next prime is 12453043453. The reversal of 12453043440 is 4434035421.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12453043398 and 12453043407.

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, 13233370 + ... + 13234310.

Almost surely, 212453043440 is an apocalyptic number.

12453043440 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 12453043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634957568).

12453043440 is an abundant number, since it is smaller than the sum of its proper divisors (26816871696).

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

12453043440 is a wasteful number, since it uses less digits than its factorization.

12453043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12453043440 its reverse (4434035421), we get a palindrome (16887078861).

The spelling of 12453043440 in words is "twelve billion, four hundred fifty-three million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 823 941 1005 1072 1340 1608 1646 1882 2010 2469 2680 2823 3216 3292 3764 4020 4115 4705 4938 5360 5646 6584 7528 8040 8230 9410 9876 11292 12345 13168 14115 15056 16080 16460 18820 19752 22584 24690 28230 32920 37640 39504 45168 49380 55141 56460 63047 65840 75280 98760 110282 112920 126094 165423 189141 197520 220564 225840 252188 275705 315235 330846 378282 441128 504376 551410 630470 661692 756564 774443 827115 882256 945705 1008752 1102820 1260940 1323384 1513128 1548886 1654230 1891410 2205640 2323329 2521880 2646768 3026256 3097772 3308460 3782820 3872215 4411280 4646658 5043760 6195544 6616920 7565640 7744430 9293316 11616645 12391088 13233840 15131280 15488860 18586632 23233290 30977720 37173264 46466580 51887681 61955440 92933160 103775362 155663043 185866320 207550724 259438405 311326086 415101448 518876810 622652172 778315215 830202896 1037753620 1245304344 1556630430 2075507240 2490608688 3113260860 4151014480 6226521720 12453043440