Search a number
-
+
44134230231440 = 2452346767937561
BaseRepresentation
bin10100000100011110011010…
…00111011000100110010000
312210021012011101110222110222
422002033031013120212100
521241043400414401230
6233510552510012212
712203410240146356
oct1202171507304620
9183235141428428
1044134230231440
1113076249430308
124b496144a7068
131b81abc799b3b
14ac8172a497d6
155180750dc6e5
hex2823cd1d8990

44134230231440 has 160 divisors (see below), whose sum is σ = 107332749478656. Its totient is φ = 16845272801280.

The previous prime is 44134230231437. The next prime is 44134230231461. The reversal of 44134230231440 is 4413203243144.

It is a self number, because there is not a number n which added to its sum of digits gives 44134230231440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5837085260 + ... + 5837092820.

Almost surely, 244134230231440 is an apocalyptic number.

44134230231440 is a gapful number since it is divisible by the number (40) 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 44134230231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53666374739328).

44134230231440 is an abundant number, since it is smaller than the sum of its proper divisors (63198519247216).

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

44134230231440 is a wasteful number, since it uses less digits than its factorization.

44134230231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14857 (or 14851 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 44134230231440 its reverse (4413203243144), we get a palindrome (48547433474584).

The spelling of 44134230231440 in words is "forty-four trillion, one hundred thirty-four billion, two hundred thirty million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 467 920 934 1840 1868 2335 3736 4670 6793 7472 7561 9340 10741 13586 15122 18680 21482 27172 30244 33965 37360 37805 42964 53705 54344 60488 67930 75610 85928 107410 108688 120976 135860 151220 156239 171856 173903 214820 271720 302440 312478 347806 429640 543440 604880 624956 695612 781195 859280 869515 1249912 1391224 1562390 1739030 2499824 2782448 3124780 3172331 3478060 3530987 6249560 6344662 6956120 7061974 12499120 12689324 13912240 14123948 15861655 17654935 25378648 28247896 31723310 35309870 50757296 51361873 56495792 63446620 70619740 72963613 81212701 102723746 126893240 141239480 145927226 162425402 205447492 253786480 256809365 282478960 291854452 324850804 364818065 406063505 410894984 513618730 583708904 649701608 729636130 812127010 821789968 1027237460 1167417808 1181323079 1299403216 1459272260 1624254020 2054474920 2362646158 2918544520 3248508040 4108949840 4725292316 5837089040 5906615395 6497016080 9450584632 11813230790 18901169264 23626461580 23985994691 47252923160 47971989382 94505846320 95943978764 119929973455 191887957528 239859946910 383775915056 479719893820 551677877893 959439787640 1103355755786 1918879575280 2206711511572 2758389389465 4413423023144 5516778778930 8826846046288 11033557557860 22067115115720 44134230231440