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1430431444200 = 2335211216732037
BaseRepresentation
bin10100110100001100010…
…110111010110011101000
312001202012020010100000210
4110310030112322303220
5141414010422203300
63013044154101120
7205226265442503
oct24641426726350
95052166110023
101430431444200
11501708293780
121b128871a7a0
13a4b7349c9a5
144d33a08213a
152731eaae050
hex14d0c5bace8

1430431444200 has 96 divisors (see below), whose sum is σ = 4837459088160. Its totient is φ = 346771257600.

The previous prime is 1430431444153. The next prime is 1430431444217. The reversal of 1430431444200 is 24441340341.

It is a super-2 number, since 2×14304314442002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 108359419 + ... + 108372618.

It is an arithmetic number, because the mean of its divisors is an integer number (50390198835).

Almost surely, 21430431444200 is an apocalyptic number.

1430431444200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1430431444200 is an abundant number, since it is smaller than the sum of its proper divisors (3407027643960).

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

1430431444200 is a wasteful number, since it uses less digits than its factorization.

1430431444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216732067 (or 216732058 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1430431444200 its reverse (24441340341), we get a palindrome (1454872784541).

The spelling of 1430431444200 in words is "one trillion, four hundred thirty billion, four hundred thirty-one million, four hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 216732037 433464074 650196111 866928148 1083660185 1300392222 1733856296 2167320370 2384052407 2600784444 3250980555 4334640740 4768104814 5201568888 5418300925 6501961110 7152157221 8669281480 9536209628 10836601850 11920262035 13003922220 14304314442 16254902775 19072419256 21673203700 23840524070 26007844440 28608628884 32509805550 35760786105 43346407400 47681048140 57217257768 59601310175 65019611100 71521572210 95362096280 119202620350 130039222200 143043144420 178803930525 238405240700 286086288840 357607861050 476810481400 715215722100 1430431444200