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144452453103 = 32724771103953
BaseRepresentation
bin1000011010001000001…
…0011000001011101111
3111210212010202221011200
42012202002120023233
54331314311444403
6150205513220543
713302444410100
oct2064202301357
9453763687150
10144452453103
115629770a052
1223bb4a01753
131081115bb2a
146dc4abc3a7
153b56a6bca3
hex21a20982ef

144452453103 has 144 divisors (see below), whose sum is σ = 254081857536. Its totient is φ = 78794069760.

The previous prime is 144452453027. The next prime is 144452453137. The reversal of 144452453103 is 301354254441.

144452453103 is a `hidden beast` number, since 14 + 44 + 52 + 453 + 103 = 666.

It is not a de Polignac number, because 144452453103 - 212 = 144452449007 is a prime.

It is a super-2 number, since 2×1444524531032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144452453203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 151576075 + ... + 151577027.

It is an arithmetic number, because the mean of its divisors is an integer number (1764457344).

Almost surely, 2144452453103 is an apocalyptic number.

144452453103 is a deficient number, since it is larger than the sum of its proper divisors (109629404433).

144452453103 is a wasteful number, since it uses less digits than its factorization.

144452453103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 144452453103 in words is "one hundred forty-four billion, four hundred fifty-two million, four hundred fifty-three thousand, one hundred three".

Divisors: 1 3 7 9 21 47 49 63 71 103 141 147 213 309 329 423 441 497 639 721 927 953 987 1491 2163 2303 2859 2961 3337 3479 4473 4841 5047 6489 6671 6909 7313 8577 10011 10437 14523 15141 20013 20727 21939 23359 30033 31311 33887 43569 44791 45423 46697 51191 60039 65817 67663 70077 98159 101661 134373 140091 153573 163513 202989 210231 237209 294477 304983 313537 343711 358337 403119 420273 460719 473641 490539 608967 687113 711627 883431 940611 1031133 1075011 1420923 1471617 2061339 2134881 2194759 2405977 2821833 3093399 3180161 3225033 3315487 4262769 4613473 4809791 6184017 6584277 6969289 7217931 9540483 9946461 13840419 14429373 16841839 19752831 20907867 21653793 22261127 28621449 29839383 32294311 41521257 43288119 48785023 50525517 62723601 66783381 96882933 146355069 151576551 155827889 200350143 226060177 290648799 327556583 341495161 439065207 467483667 678180531 982669749 1024485483 1402451001 2034541593 2292896081 2948009247 3073456449 6878688243 16050272567 20636064729 48150817701 144452453103