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11453445141160 = 235111571042715901
BaseRepresentation
bin1010011010101011011010…
…0001110111001010101000
31111112221100021200112010211
42212222312201313022220
53000123123424004120
640205350130350504
72261325022244401
oct246526641671250
944487307615124
1011453445141160
113716419211960
12134b90772b434
136510944a1879
142b84c78269a8
1514cde511a25a
hexa6ab68772a8

11453445141160 has 128 divisors (see below), whose sum is σ = 28296558195840. Its totient is φ = 4137704064000.

The previous prime is 11453445141143. The next prime is 11453445141161. The reversal of 11453445141160 is 6114154435411.

11453445141160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114534451411602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11453445141161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720289210 + ... + 720305110.

It is an arithmetic number, because the mean of its divisors is an integer number (221066860905).

Almost surely, 211453445141160 is an apocalyptic number.

11453445141160 is a gapful number since it is divisible by the number (10) 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 11453445141160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148279097920).

11453445141160 is an abundant number, since it is smaller than the sum of its proper divisors (16843113054680).

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

11453445141160 is a wasteful number, since it uses less digits than its factorization.

11453445141160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26507 (or 26503 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 11453445141160 its reverse (6114154435411), we get a palindrome (17567599576571).

The spelling of 11453445141160 in words is "eleven trillion, four hundred fifty-three billion, four hundred forty-five million, one hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 10427 13816 15901 17270 20854 31802 34540 41708 52135 63604 69080 79505 83416 104270 114697 127208 159010 174911 208540 229394 318020 349822 417080 458788 573485 636040 699644 874555 917576 1146970 1399288 1637039 1749110 2293940 2496457 3274078 3498220 4587880 4992914 6548156 6996440 8185195 9985828 12482285 13096312 16370390 18007429 19971656 24964570 27461027 32740780 36014858 49929140 54922054 65481560 72029716 90037145 99858280 109844108 137305135 144059432 165799727 180074290 219688216 274610270 331599454 360148580 549220540 663198908 720297160 828998635 1098441080 1326397816 1657997270 1823796997 3315994540 3647593994 6631989080 7295187988 9118984985 14590375976 18237969970 26030557139 36475939940 52061114278 72951879880 104122228556 130152785695 208244457112 260305571390 286336128529 520611142780 572672257058 1041222285560 1145344514116 1431680642645 2290689028232 2863361285290 5726722570580 11453445141160