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234211314420 = 2232567118716361
BaseRepresentation
bin1101101000100000010…
…1010000101011110100
3211101112120220112012200
43122020011100223310
512314131044030140
6255332321144500
722630655216316
oct3321005205364
9741476815180
10234211314420
11903681aa076
1239484a8b130
1319117021ba5
14b49b9697b6
15615bb65030
hex3688150af4

234211314420 has 144 divisors (see below), whose sum is σ = 721696143168. Its totient is φ = 61468577280.

The previous prime is 234211314391. The next prime is 234211314433. The reversal of 234211314420 is 24413112432.

234211314420 is a `hidden beast` number, since 2 + 3 + 4 + 211 + 3 + 1 + 442 + 0 = 666.

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, 14307040 + ... + 14323400.

It is an arithmetic number, because the mean of its divisors is an integer number (5011778772).

Almost surely, 2234211314420 is an apocalyptic number.

234211314420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234211314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360848071584).

234211314420 is an abundant number, since it is smaller than the sum of its proper divisors (487484828748).

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

234211314420 is a wasteful number, since it uses less digits than its factorization.

234211314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17630 (or 17625 counting only the distinct ones).

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

Adding to 234211314420 its reverse (24413112432), we get a palindrome (258624426852).

The spelling of 234211314420 in words is "two hundred thirty-four billion, two hundred eleven million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1187 1206 1340 2010 2374 2412 3015 3561 4020 4748 5935 6030 7122 10683 11870 12060 14244 16361 17805 21366 23740 32722 35610 42732 49083 53415 65444 71220 79529 81805 98166 106830 147249 159058 163610 196332 213660 238587 245415 294498 318116 327220 397645 477174 490830 588996 715761 736245 795290 954348 981660 1096187 1192935 1431522 1472490 1590580 2192374 2385870 2863044 2944980 3288561 3578805 4384748 4771740 5480935 6577122 7157610 9865683 10961870 13154244 14315220 16442805 19420507 19731366 21923740 32885610 38841014 39462732 49328415 58261521 65771220 77682028 97102535 98656830 116523042 174784563 194205070 197313660 233046084 291307605 349569126 388410140 582615210 699138252 873922815 1165230420 1301173969 1747845630 2602347938 3495691260 3903521907 5204695876 6505869845 7807043814 11710565721 13011739690 15614087628 19517609535 23421131442 26023479380 39035219070 46842262884 58552828605 78070438140 117105657210 234211314420