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234414143100 = 223352432019071
BaseRepresentation
bin1101101001010000101…
…0111111011001111100
3211102001201120021212000
43122110022333121330
512320040010034400
6255404404342300
722636000224504
oct3322412773174
9742051507760
10234414143100
1190461744285
12395209a4990
131914a059867
14b4ba886a04
15616e87c600
hex36942bf67c

234414143100 has 144 divisors (see below), whose sum is σ = 771123978240. Its totient is φ = 61056676800.

The previous prime is 234414143099. The next prime is 234414143129. The reversal of 234414143100 is 1341414432.

234414143100 is a `hidden beast` number, since 2 + 3 + 4 + 414 + 143 + 100 = 666.

It is a super-2 number, since 2×2344141431002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893436 + ... + 1125635.

Almost surely, 2234414143100 is an apocalyptic number.

234414143100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234414143100 is an abundant number, since it is smaller than the sum of its proper divisors (536709835140).

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

234414143100 is a wasteful number, since it uses less digits than its factorization.

234414143100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019137 (or 2019124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 234414143100 its reverse (1341414432), we get a palindrome (235755557532).

The spelling of 234414143100 in words is "two hundred thirty-four billion, four hundred fourteen million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 43 45 50 54 60 75 86 90 100 108 129 135 150 172 180 215 225 258 270 300 387 430 450 516 540 645 675 774 860 900 1075 1161 1290 1350 1548 1935 2150 2322 2580 2700 3225 3870 4300 4644 5805 6450 7740 9675 11610 12900 19350 23220 29025 38700 58050 116100 2019071 4038142 6057213 8076284 10095355 12114426 18171639 20190710 24228852 30286065 36343278 40381420 50476775 54514917 60572130 72686556 86820053 90858195 100953550 109029834 121144260 151430325 173640106 181716390 201907100 218059668 260460159 272574585 302860650 347280212 363432780 434100265 454290975 520920318 545149170 605721300 781380477 868200530 908581950 1041840636 1090298340 1302300795 1362872925 1562760954 1736401060 1817163900 2170501325 2344141431 2604601590 2725745850 3125521908 3906902385 4341002650 4688282862 5209203180 5451491700 6511503975 7813804770 8682005300 9376565724 11720707155 13023007950 15627609540 19534511925 23441414310 26046015900 39069023850 46882828620 58603535775 78138047700 117207071550 234414143100