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1134444140200 = 235271018022943
BaseRepresentation
bin10000100000100010001…
…000111101011010101000
311000110012100210101101001
4100200202020331122220
5122041320144441300
62225053443004344
7144650404042240
oct20404210753250
94013170711331
101134444140200
113a812a162368
12163a430696b4
1382c92ab9517
143cc9bc3ab20
151e79983216a
hex1082223d6a8

1134444140200 has 96 divisors (see below), whose sum is σ = 3044225871360. Its totient is φ = 385101216000.

The previous prime is 1134444140189. The next prime is 1134444140227. The reversal of 1134444140200 is 20414444311.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 3870072 + ... + 4152871.

It is an arithmetic number, because the mean of its divisors is an integer number (31710686160).

Almost surely, 21134444140200 is an apocalyptic number.

1134444140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134444140200 is an abundant number, since it is smaller than the sum of its proper divisors (1909781731160).

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

1134444140200 is a wasteful number, since it uses less digits than its factorization.

1134444140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023067 (or 8023058 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 1134444140200 its reverse (20414444311), we get a palindrome (1154858584511).

The spelling of 1134444140200 in words is "one trillion, one hundred thirty-four billion, four hundred forty-four million, one hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 17675 20200 28280 35350 70700 141400 8022943 16045886 32091772 40114715 56160601 64183544 80229430 112321202 160458860 200573575 224642404 280803005 320917720 401147150 449284808 561606010 802294300 810317243 1123212020 1404015025 1604588600 1620634486 2246424040 2808030050 3241268972 4051586215 5616060100 5672220701 6482537944 8103172430 11232120200 11344441402 16206344860 20257931075 22688882804 28361103505 32412689720 40515862150 45377765608 56722207010 81031724300 113444414020 141805517525 162063448600 226888828040 283611035050 567222070100 1134444140200