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145025555253552 = 243215126237254209
BaseRepresentation
bin100000111110011001100100…
…101101000100100100110000
3201000111022022022002001111200
4200332121210231010210300
5123002044314121103202
61232235453105211200
742355515312104511
oct4076314455044460
9630438268061450
10145025555253552
1142233aa114aa66
1214322b11030b00
1362bcb0b06a96c
1427b53baa76a08
1511b76aa50ee1c
hex83e664b44930

145025555253552 has 120 divisors (see below), whose sum is σ = 408575191046880. Its totient is φ = 48019687833600.

The previous prime is 145025555253461. The next prime is 145025555253577. The reversal of 145025555253552 is 255352555520541.

145025555253552 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 2 + 5 + 5 + 5 + 52 + 535 + 52 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570370224 + ... + 570624432.

It is an arithmetic number, because the mean of its divisors is an integer number (3404793258724).

Almost surely, 2145025555253552 is an apocalyptic number.

145025555253552 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 145025555253552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204287595523440).

145025555253552 is an abundant number, since it is smaller than the sum of its proper divisors (263549635793328).

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

145025555253552 is a wasteful number, since it uses less digits than its factorization.

145025555253552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280611 (or 280602 counting only the distinct ones).

The product of its (nonzero) digits is 37500000, while the sum is 54.

The spelling of 145025555253552 in words is "one hundred forty-five trillion, twenty-five billion, five hundred fifty-five million, two hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1359 1812 2416 2718 3624 5436 7248 10872 21744 26237 52474 78711 104948 157422 209896 236133 254209 314844 419792 472266 508418 629688 762627 944532 1016836 1259376 1525254 1889064 2033672 2287881 3050508 3778128 3961787 4067344 4575762 6101016 7923574 9151524 11885361 12202032 15847148 18303048 23770722 31694296 35656083 36606096 38385559 47541444 63388592 71312166 76771118 95082888 115156677 142624332 153542236 190165776 230313354 285248664 307084472 345470031 460626708 570497328 614168944 690940062 921253416 1381880124 1842506832 2763760248 5527520496 6669681533 13339363066 20009044599 26678726132 40018089198 53357452264 60027133797 80036178396 106714904528 120054267594 160072356792 240108535188 320144713584 480217070376 960434140752 1007121911483 2014243822966 3021365734449 4028487645932 6042731468898 8056975291864 9064097203347 12085462937796 16113950583728 18128194406694 24170925875592 36256388813388 48341851751184 72512777626776 145025555253552