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1140012223400 = 235273127614827
BaseRepresentation
bin10000100101101110000…
…001100000101110101000
311000222120102010022120202
4100211232001200232220
5122134221112122100
62231414150211332
7145235365005041
oct20455601405650
94028512108522
101140012223400
113aa5271a8716
12164b37953b48
138366c54a3cb
143d2695378c8
151e9c359e7d5
hex1096e060ba8

1140012223400 has 96 divisors (see below), whose sum is σ = 2707997629440. Its totient is φ = 446216117760.

The previous prime is 1140012223397. The next prime is 1140012223447. The reversal of 1140012223400 is 43222100411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1546787 + ... + 2161613.

It is an arithmetic number, because the mean of its divisors is an integer number (28208308640).

Almost surely, 21140012223400 is an apocalyptic number.

1140012223400 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 1140012223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353998814720).

1140012223400 is an abundant number, since it is smaller than the sum of its proper divisors (1567985406040).

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

1140012223400 is a wasteful number, since it uses less digits than its factorization.

1140012223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615043 (or 615034 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1140012223400 its reverse (43222100411), we get a palindrome (1183234323811).

The spelling of 1140012223400 in words is "one trillion, one hundred forty billion, twelve million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 127 146 200 254 292 365 508 584 635 730 1016 1270 1460 1825 2540 2920 3175 3650 5080 6350 7300 9271 12700 14600 18542 25400 37084 46355 74168 92710 185420 231775 370840 463550 614827 927100 1229654 1854200 2459308 3074135 4918616 6148270 12296540 15370675 24593080 30741350 44882371 61482700 78083029 89764742 122965400 156166058 179529484 224411855 312332116 359058968 390415145 448823710 624664232 780830290 897647420 1122059275 1561660580 1795294840 1952075725 2244118550 3123321160 3904151450 4488237100 5700061117 7808302900 8976474200 11400122234 15616605800 22800244468 28500305585 45600488936 57000611170 114001222340 142501527925 228002444680 285003055850 570006111700 1140012223400