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234134424313240 = 235114297836914797
BaseRepresentation
bin110101001111000110101011…
…001100001101110110011000
31010201000000212121002011101211
4311033012223030031312120
5221142024300111010430
62145543511502152504
7100213440204565003
oct6517065314156630
91121000777064354
10234134424313240
1168669940720120
12223149a0b82734
13a084a20b94ab9
1441b624922253a
151c105912c472a
hexd4f1ab30dd98

234134424313240 has 128 divisors (see below), whose sum is σ = 574934867438400. Its totient is φ = 85104054190080.

The previous prime is 234134424313213. The next prime is 234134424313247. The reversal of 234134424313240 is 42313424431432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 234134424313193 and 234134424313202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234134424313247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15823093522 + ... + 15823108318.

Almost surely, 2234134424313240 is an apocalyptic number.

234134424313240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234134424313240 is an abundant number, since it is smaller than the sum of its proper divisors (340800443125160).

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

234134424313240 is a wasteful number, since it uses less digits than its factorization.

234134424313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27485 (or 27481 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 234134424313240 its reverse (42313424431432), we get a palindrome (276447848744672).

The spelling of 234134424313240 in words is "two hundred thirty-four trillion, one hundred thirty-four billion, four hundred twenty-four million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 4297 8369 8594 14797 16738 17188 21485 29594 33476 34376 41845 42970 47267 59188 66952 73985 83690 85940 92059 94534 118376 147970 162767 167380 171880 184118 189068 236335 295940 325534 334760 368236 378136 460295 472670 591880 651068 736472 813835 920590 945340 1302136 1627670 1841180 1890680 3255340 3682360 6510680 35961593 63582709 71923186 123836093 127165418 143846372 179807965 247672186 254330836 287692744 317913545 359615930 395577523 495344372 508661672 619180465 635827090 699409799 719231860 791155046 990688744 1238360930 1271654180 1362197023 1398819598 1438463720 1582310092 1977887615 2476721860 2543308360 2724394046 2797639196 3164620184 3497048995 3955775230 4953443720 5448788092 5595278392 6810985115 6994097990 7911550460 10897576184 13621970230 13988195980 15823100920 27243940460 27976391960 54487880920 532123691621 1064247383242 2128494766484 2660618458105 4256989532968 5321236916210 5853360607831 10642473832420 11706721215662 21284947664840 23413442431324 29266803039155 46826884862648 58533606078310 117067212156620 234134424313240