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234141004240 = 245111326577703
BaseRepresentation
bin1101101000001111100…
…1000011000111010000
3211101100200121101202221
43122003321003013100
512314010044113430
6255321330150424
722626142461343
oct3320371030720
9741320541687
10234141004240
1190331546a90
1239465422414
13191055a5130
14b4924a645a
1561558c757a
hex3683e431d0

234141004240 has 160 divisors (see below), whose sum is σ = 639872545536. Its totient is φ = 78553006080.

The previous prime is 234141004217. The next prime is 234141004261. The reversal of 234141004240 is 42400141432.

It is a super-3 number, since 3×2341410042403 (a number of 35 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 30392229 + ... + 30399931.

Almost surely, 2234141004240 is an apocalyptic number.

234141004240 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 234141004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319936272768).

234141004240 is an abundant number, since it is smaller than the sum of its proper divisors (405731541296).

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

234141004240 is a wasteful number, since it uses less digits than its factorization.

234141004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 234141004240 its reverse (42400141432), we get a palindrome (276541145672).

The spelling of 234141004240 in words is "two hundred thirty-four billion, one hundred forty-one million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2657 2860 5314 5720 7703 10628 11440 13285 15406 21256 26570 29227 30812 34541 38515 42512 53140 58454 61624 69082 77030 84733 100139 106280 116908 123248 138164 146135 154060 169466 172705 200278 212560 233816 276328 292270 308120 338932 345410 379951 400556 423665 467632 500695 552656 584540 616240 677864 690820 759902 801112 847330 1001390 1101529 1169080 1355728 1381640 1519804 1602224 1694660 1899755 2002780 2203058 2338160 2763280 3039608 3389320 3799510 4005560 4406116 5507645 6079216 6778640 7599020 8011120 8812232 11015290 15198040 17624464 20466871 22030580 30396080 40933742 44061160 81867484 88122320 102334355 163734968 204668710 225135581 266069323 327469936 409337420 450271162 532138646 818674840 900542324 1064277292 1125677905 1330346615 1637349680 1801084648 2128554584 2251355810 2660693230 2926762553 3602169296 4257109168 4502711620 5321386460 5853525106 9005423240 10642772920 11707050212 14633812765 18010846480 21285545840 23414100424 29267625530 46828200848 58535251060 117070502120 234141004240