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113240326144 = 2141122392
BaseRepresentation
bin110100101110110100…
…1100100000000000000
3101211021220122121012111
41221131221210000000
53323404010414034
6124004421105104
711116125614311
oct1513551440000
9354256577174
10113240326144
1144030237100
1219b43b58194
13a8a891785a
1456a36a8608
152e2b80e364
hex1a5da64000

113240326144 has 135 divisors (see below), whose sum is σ = 249979868971. Its totient is φ = 51257507840.

The previous prime is 113240326139. The next prime is 113240326153. The reversal of 113240326144 is 441623042311.

The square root of 113240326144 is 336512.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 473808777 + ... + 473809015.

Almost surely, 2113240326144 is an apocalyptic number.

113240326144 is the 336512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113240326144

113240326144 is an abundant number, since it is smaller than the sum of its proper divisors (136739542827).

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

113240326144 is an frugal number, since it uses more digits than its factorization.

113240326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 113240326144 its reverse (441623042311), we get a palindrome (554863368455).

The spelling of 113240326144 in words is "one hundred thirteen billion, two hundred forty million, three hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 239 242 256 352 478 484 512 704 956 968 1024 1408 1912 1936 2048 2629 2816 3824 3872 4096 5258 5632 7648 7744 8192 10516 11264 15296 15488 16384 21032 22528 28919 30592 30976 42064 45056 57121 57838 61184 61952 84128 90112 114242 115676 122368 123904 168256 180224 228484 231352 244736 247808 336512 456968 462704 489472 495616 628331 673024 913936 925408 978944 991232 1256662 1346048 1827872 1850816 1957888 1982464 2513324 2692096 3655744 3701632 3915776 5026648 5384192 6911641 7311488 7403264 10053296 10768384 13823282 14622976 14806528 20106592 21536768 27646564 29245952 29613056 40213184 43073536 55293128 58491904 59226112 80426368 110586256 116983808 118452224 160852736 221172512 233967616 236904448 321705472 442345024 467935232 473808896 643410944 884690048 935870464 1286821888 1769380096 2573643776 3538760192 5147287552 7077520384 10294575104 14155040768 28310081536 56620163072 113240326144