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1014204400 = 245211230501
BaseRepresentation
bin111100011100111…
…000011111110000
32121200101220212221
4330130320133300
54034114020100
6244345530424
734063411066
oct7434703760
92550356787
101014204400
11480545860
122437a3a14
13132171661
14989a8036
155e08a01a
hex3c7387f0

1014204400 has 60 divisors (see below), whose sum is σ = 2658149064. Its totient is φ = 368800000.

The previous prime is 1014204371. The next prime is 1014204437. The reversal of 1014204400 is 44024101.

It is a super-2 number, since 2×10142044002 = 2057221129958720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

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, 110851 + ... + 119650.

Almost surely, 21014204400 is an apocalyptic number.

1014204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014204400 is an abundant number, since it is smaller than the sum of its proper divisors (1643944664).

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

1014204400 is a wasteful number, since it uses less digits than its factorization.

1014204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230530 (or 230519 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1014204400 is about 31846.5759540959. The cubic root of 1014204400 is about 1004.7125569215.

Adding to 1014204400 its reverse (44024101), we get a palindrome (1058228501).

The spelling of 1014204400 in words is "one billion, fourteen million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 230501 461002 922004 1152505 1844008 2305010 2535511 3688016 4610020 5071022 5762525 9220040 10142044 11525050 12677555 18440080 20284088 23050100 25355110 40568176 46100200 50710220 63387775 92200400 101420440 126775550 202840880 253551100 507102200 1014204400