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145554455310 = 235113170120297
BaseRepresentation
bin1000011110001110111…
…0001011101100001110
3111220200221101110000020
42013203232023230032
54341043420032220
6150511121043010
713341655312365
oct2074356135416
9456627343006
10145554455310
1156802771680
1224261a86466
1310958560c44
14708b1bc7dc
153bbd69b040
hex21e3b8bb0e

145554455310 has 128 divisors (see below), whose sum is σ = 393961771008. Its totient is φ = 34097280000.

The previous prime is 145554455273. The next prime is 145554455327. The reversal of 145554455310 is 13554455541.

It is a super-2 number, since 2×1455544553102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7161082 + ... + 7181378.

It is an arithmetic number, because the mean of its divisors is an integer number (3077826336).

Almost surely, 2145554455310 is an apocalyptic number.

145554455310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145554455310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196980885504).

145554455310 is an abundant number, since it is smaller than the sum of its proper divisors (248407315698).

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

145554455310 is a wasteful number, since it uses less digits than its factorization.

145554455310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21050.

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 145554455310 in words is "one hundred forty-five billion, five hundred fifty-four million, four hundred fifty-five thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 701 930 1023 1402 1705 2046 2103 3410 3505 4206 5115 7010 7711 10230 10515 15422 20297 21030 21731 23133 38555 40594 43462 46266 60891 65193 77110 101485 108655 115665 121782 130386 202970 217310 223267 231330 239041 304455 325965 446534 478082 608910 629207 651930 669801 717123 1116335 1195205 1258414 1339602 1434246 1887621 2232670 2390410 3146035 3349005 3585615 3775242 6292070 6698010 6921277 7171230 9438105 13842554 14228197 18876210 20763831 28456394 34606385 41527662 42684591 69212770 71140985 85369182 103819155 142281970 156510167 207638310 213422955 313020334 426845910 441074107 469530501 782550835 882148214 939061002 1323222321 1565101670 2205370535 2347652505 2646444642 4410741070 4695305010 4851815177 6616111605 9703630354 13232223210 14555445531 24259075885 29110891062 48518151770 72777227655 145554455310