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244141022430 = 23351676418447
BaseRepresentation
bin1110001101011111110…
…0000101110011011110
3212100011121101221212000
43203113330011303132
513000000100204210
6304053513223130
723432020310334
oct3432774056336
9770147357760
10244141022430
11945a3273728
123b396401aa6
131a03a29a966
14bb60631b54
15653d78aac0
hex38d7f05cde

244141022430 has 128 divisors (see below), whose sum is σ = 656040591360. Its totient is φ = 64605818880.

The previous prime is 244141022399. The next prime is 244141022479. The reversal of 244141022430 is 34220141442.

244141022430 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 410 + 2 + 243 + 0 = 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 = 244141022394 and 244141022403.

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 63 ways as a sum of consecutive naturals, for example, 28898467 + ... + 28906913.

It is an arithmetic number, because the mean of its divisors is an integer number (5125317120).

Almost surely, 2244141022430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244141022430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328020295680).

244141022430 is an abundant number, since it is smaller than the sum of its proper divisors (411899568930).

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

244141022430 is a wasteful number, since it uses less digits than its factorization.

244141022430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9265 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244141022430 its reverse (34220141442), we get a palindrome (278361163872).

The spelling of 244141022430 in words is "two hundred forty-four billion, one hundred forty-one million, twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 641 835 1002 1282 1503 1670 1923 2505 3006 3205 3846 4509 5010 5769 6410 7515 8447 9018 9615 11538 15030 16894 17307 19230 22545 25341 28845 34614 42235 45090 50682 57690 76023 84470 86535 107047 126705 152046 173070 214094 228069 253410 321141 380115 456138 535235 642282 760230 963423 1070470 1140345 1410649 1605705 1926846 2280690 2821298 2890269 3211410 4231947 4817115 5414527 5780538 7053245 8463894 9634230 10829054 12695841 14106490 14451345 16243581 21159735 25391682 27072635 28902690 32487162 38087523 42319470 48730743 54145270 63479205 76175046 81217905 97461486 126958410 146192229 162435810 190437615 243653715 292384458 380875230 487307430 730961145 904226009 1461922290 1808452018 2712678027 4521130045 5425356054 8138034081 9042260090 13563390135 16276068162 24414102243 27126780270 40690170405 48828204486 81380340810 122070511215 244141022430