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1043042421400 = 23527751992051
BaseRepresentation
bin11110010110110100010…
…11000100101010011000
310200201021102022222112121
433023122023010222120
5114042122324441100
62115100030551024
7135233364204040
oct17133213045230
93621242288477
101043042421400
11372396289191
1214a194968474
1377487766345
14386aab00720
151c1ea3c151a
hexf2da2c4a98

1043042421400 has 96 divisors (see below), whose sum is σ = 2775205946880. Its totient is φ = 357138000000.

The previous prime is 1043042421361. The next prime is 1043042421403. The reversal of 1043042421400 is 41242403401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043042421403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555375 + ... + 1547425.

It is an arithmetic number, because the mean of its divisors is an integer number (28908395280).

Almost surely, 21043042421400 is an apocalyptic number.

1043042421400 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 1043042421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387602973440).

1043042421400 is an abundant number, since it is smaller than the sum of its proper divisors (1732163525480).

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

1043042421400 is a wasteful number, since it uses less digits than its factorization.

1043042421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992825 (or 992816 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1043042421400 its reverse (41242403401), we get a palindrome (1084284824801).

The spelling of 1043042421400 in words is "one trillion, forty-three billion, forty-two million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 751 1400 1502 3004 3755 5257 6008 7510 10514 15020 18775 21028 26285 30040 37550 42056 52570 75100 105140 131425 150200 210280 262850 525700 992051 1051400 1984102 3968204 4960255 6944357 7936408 9920510 13888714 19841020 24801275 27777428 34721785 39682040 49602550 55554856 69443570 99205100 138887140 173608925 198410200 277774280 347217850 694435700 745030301 1388871400 1490060602 2980121204 3725151505 5215212107 5960242408 7450303010 10430424214 14900606020 18625757525 20860848428 26076060535 29801212040 37251515050 41721696856 52152121070 74503030100 104304242140 130380302675 149006060200 208608484280 260760605350 521521210700 1043042421400