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1145644721232 = 243112225187629
BaseRepresentation
bin10000101010111101101…
…111110010010001010000
311001112002221122212001120
4100222331233302101100
5122232240022034412
62234145114202240
7145525100312364
oct20527557622120
94045087585046
101145644721232
1140195763a700
1216604a123380
138405944276b
143d6416012a4
151ec02ce2b8c
hex10abdbf2450

1145644721232 has 120 divisors (see below), whose sum is σ = 3254576797920. Its totient is φ = 347006880000.

The previous prime is 1145644721227. The next prime is 1145644721233. The reversal of 1145644721232 is 2321274465411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145644721233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13029994 + ... + 13117622.

It is an arithmetic number, because the mean of its divisors is an integer number (27121473316).

Almost surely, 21145644721232 is an apocalyptic number.

1145644721232 is a gapful number since it is divisible by the number (12) 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 1145644721232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627288398960).

1145644721232 is an abundant number, since it is smaller than the sum of its proper divisors (2108932076688).

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

1145644721232 is a wasteful number, since it uses less digits than its factorization.

1145644721232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89913 (or 89896 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 1145644721232 in words is "one trillion, one hundred forty-five billion, six hundred forty-four million, seven hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2251 2904 4502 5808 6753 9004 13506 18008 24761 27012 36016 49522 54024 74283 87629 99044 108048 148566 175258 198088 262887 272371 297132 350516 396176 525774 544742 594264 701032 817113 963919 1051548 1089484 1188528 1402064 1634226 1927838 2103096 2178968 2891757 3268452 3855676 4206192 4357936 5783514 6536904 7711352 10603109 11567028 13073808 15422704 21206218 23134056 31809327 42412436 46268112 63618654 84824872 127237308 169649744 197252879 254474616 394505758 508949232 591758637 789011516 1183517274 1578023032 2169781669 2367034548 3156046064 4339563338 4734069096 6509345007 8679126676 9468138192 13018690014 17358253352 23867598359 26037380028 34716506704 47735196718 52074760056 71602795077 95470393436 104149520112 143205590154 190940786872 286411180308 381881573744 572822360616 1145644721232