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244231430040 = 23345135798467
BaseRepresentation
bin1110001101110101010…
…0111101111110011000
3212100101220112010210000
43203131110331332120
513000141221230130
6304110503053000
723434165621353
oct3433524757630
9770356463700
10244231430040
119463a303264
123b400741160
131a052c332a0
14bb6c64729a
156546698260
hex38dd53df98

244231430040 has 160 divisors (see below), whose sum is σ = 884034431280. Its totient is φ = 60118495488.

The previous prime is 244231430033. The next prime is 244231430089. The reversal of 244231430040 is 40034132442.

It is a happy number.

244231430040 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 314 + 300 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 244231429986 and 244231430013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2857114 + ... + 2941353.

Almost surely, 2244231430040 is an apocalyptic number.

244231430040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244231430040 is an abundant number, since it is smaller than the sum of its proper divisors (639803001240).

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

244231430040 is a wasteful number, since it uses less digits than its factorization.

244231430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798503 (or 5798490 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 244231430040 its reverse (40034132442), we get a palindrome (284265562482).

The spelling of 244231430040 in words is "two hundred forty-four billion, two hundred thirty-one million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1404 1560 1620 1755 2106 2340 2808 3240 3510 4212 4680 5265 7020 8424 10530 14040 21060 42120 5798467 11596934 17395401 23193868 28992335 34790802 46387736 52186203 57984670 69581604 75380071 86977005 104372406 115969340 139163208 150760142 156558609 173954010 208744812 226140213 231938680 260931015 301520284 313117218 347908020 376900355 417489624 452280426 469675827 521862030 603040568 626234436 678420639 695816040 753800710 782793045 904560852 939351654 1043724060 1130701065 1252468872 1356841278 1507601420 1565586090 1809121704 1878703308 2035261917 2087448120 2261402130 2348379135 2713682556 3015202840 3131172180 3392103195 3757406616 4070523834 4522804260 4696758270 5427365112 6105785751 6262344360 6784206390 8141047668 9045608520 9393516540 10176309585 12211571502 13568412780 16282095336 18787033080 20352619170 24423143004 27136825560 30528928755 40705238340 48846286008 61057857510 81410476680 122115715020 244231430040