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1411601136 = 2431141197331
BaseRepresentation
bin101010000100011…
…0101001011110000
310122101011202201120
41110020311023300
510342332214021
6352023302240
746660261131
oct12410651360
93571152646
101411601136
116648a2910
123348aa980
131965b105a
14d5691c88
1583dd72c6
hex542352f0

1411601136 has 160 divisors (see below), whose sum is σ = 4108237056. Its totient is φ = 413952000.

The previous prime is 1411601131. The next prime is 1411601153. The reversal of 1411601136 is 6311061141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411601131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4264491 + ... + 4264821.

Almost surely, 21411601136 is an apocalyptic number.

1411601136 is a gapful number since it is divisible by the number (16) 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 1411601136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054118528).

1411601136 is an abundant number, since it is smaller than the sum of its proper divisors (2696635920).

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

1411601136 is a wasteful number, since it uses less digits than its factorization.

1411601136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1411601136 is about 37571.2807340926. The cubic root of 1411601136 is about 1121.7704608907.

Adding to 1411601136 its reverse (6311061141), we get a palindrome (7722662277).

The spelling of 1411601136 in words is "one billion, four hundred eleven million, six hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 197 246 264 328 331 394 451 492 528 591 656 662 788 902 984 993 1182 1324 1353 1576 1804 1968 1986 2167 2364 2648 2706 3152 3608 3641 3972 4334 4728 5296 5412 6501 7216 7282 7944 8077 8668 9456 10824 10923 13002 13571 14564 15888 16154 17336 21648 21846 24231 26004 27142 29128 32308 34672 40713 43692 48462 52008 54284 58256 64616 65207 81426 87384 88847 96924 104016 108568 129232 130414 149281 162852 174768 177694 193848 195621 217136 260828 266541 298562 325704 355388 387696 391242 447843 521656 533082 597124 651408 710776 717277 782484 895686 1043312 1066164 1194248 1421552 1434554 1564968 1791372 2132328 2151831 2388496 2673487 2869108 3129936 3582744 4264656 4303662 5346974 5738216 7165488 8020461 8607324 10693948 11476432 16040922 17214648 21387896 29408357 32081844 34429296 42775792 58816714 64163688 88225071 117633428 128327376 176450142 235266856 352900284 470533712 705800568 1411601136