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145054404 = 2232111729743
BaseRepresentation
bin10001010010101…
…01101011000100
3101002221112020100
420221111223010
5244113220104
622221004100
73410641065
oct1051255304
9332845210
10145054404
1174974580
12406b3630
1324089b11
141539c56c
15cb04139
hex8a55ac4

145054404 has 144 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 39889920.

The previous prime is 145054373. The next prime is 145054409. The reversal of 145054404 is 404450541.

It is not an unprimeable number, because it can be changed into a prime (145054409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194857 + ... + 195599.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2145054404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145054404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

145054404 is an abundant number, since it is smaller than the sum of its proper divisors (293667516).

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

145054404 is a wasteful number, since it uses less digits than its factorization.

145054404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145054404 is about 12043.8533700805. The cubic root of 145054404 is about 525.4244839058.

The spelling of 145054404 in words is "one hundred forty-five million, fifty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 29 33 34 36 44 51 58 66 68 87 99 102 116 132 153 174 187 198 204 261 306 319 348 374 396 493 522 561 612 638 743 748 957 986 1044 1122 1276 1479 1486 1683 1914 1972 2229 2244 2871 2958 2972 3366 3828 4437 4458 5423 5742 5916 6687 6732 8173 8874 8916 10846 11484 12631 13374 16269 16346 17748 21547 21692 24519 25262 26748 32538 32692 37893 43094 48807 49038 50524 64641 65076 73557 75786 86188 97614 98076 113679 129282 138941 147114 151572 193923 195228 227358 237017 258564 277882 294228 366299 387846 416823 454716 474034 555764 711051 732598 775692 833646 948068 1098897 1250469 1422102 1465196 1667292 2133153 2197794 2500938 2844204 3296691 4029289 4266306 4395588 5001876 6593382 8058578 8532612 12087867 13186764 16117156 24175734 36263601 48351468 72527202 145054404