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1142021230400 = 26524721151189
BaseRepresentation
bin10000100111100101110…
…001010000111101000000
311001011202102102110002102
4100213211301100331000
5122202324413333100
62232345354205532
7145336231202231
oct20474561207500
94034672373072
101142021230400
11400368237386
121653b87238a8
13838cc82934b
143d3ba299088
151ea8eb40cd5
hex109e5c50f40

1142021230400 has 84 divisors (see below), whose sum is σ = 2810699811660. Its totient is φ = 456708710400.

The previous prime is 1142021230387. The next prime is 1142021230411. The reversal of 1142021230400 is 40321202411.

It can be written as a sum of positive squares in 6 ways, for example, as 56723996224 + 1085297234176 = 238168^2 + 1041776^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 7478006 + ... + 7629194.

Almost surely, 21142021230400 is an apocalyptic number.

1142021230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142021230400 is an abundant number, since it is smaller than the sum of its proper divisors (1668678581260).

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

1142021230400 is a wasteful number, since it uses less digits than its factorization.

1142021230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155932 (or 155917 counting only the distinct ones).

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

Adding to 1142021230400 its reverse (40321202411), we get a palindrome (1182342432811).

The spelling of 1142021230400 in words is "one trillion, one hundred forty-two billion, twenty-one million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 4721 9442 18884 23605 37768 47210 75536 94420 118025 151072 151189 188840 236050 302144 302378 377680 472100 604756 755360 755945 944200 1209512 1510720 1511890 1888400 2419024 3023780 3776800 3779725 4838048 6047560 7553600 7559450 9676096 12095120 15118900 24190240 30237800 48380480 60475600 120951200 241902400 713763269 1427526538 2855053076 3568816345 5710106152 7137632690 11420212304 14275265380 17844081725 22840424608 28550530760 35688163450 45680849216 57101061520 71376326900 114202123040 142752653800 228404246080 285505307600 571010615200 1142021230400