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145521021124304 = 247231783285111113
BaseRepresentation
bin100001000101100111000000…
…110001010111111011010000
3201002020200012011112010201022
4201011213000301113323100
5123033204022401434204
61233255233442255012
742436355363366360
oct4105470061277320
9632220164463638
10145521021124304
1142405133777001
12143a2b47657468
13632775ba22607
1427d137da289a0
1511c55080625be
hex8459c0c57ed0

145521021124304 has 160 divisors (see below), whose sum is σ = 336571769647104. Its totient is φ = 59594847206400.

The previous prime is 145521021124279. The next prime is 145521021124361. The reversal of 145521021124304 is 403421120125541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13094660252 + ... + 13094671364.

Almost surely, 2145521021124304 is an apocalyptic number.

145521021124304 is a gapful number since it is divisible by the number (14) 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 145521021124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168285884823552).

145521021124304 is an abundant number, since it is smaller than the sum of its proper divisors (191050748522800).

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

145521021124304 is a wasteful number, since it uses less digits than its factorization.

145521021124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15785 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 145521021124304 its reverse (403421120125541), we get a palindrome (548942141249845).

The spelling of 145521021124304 in words is "one hundred forty-five trillion, five hundred twenty-one billion, twenty-one million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 1783 2576 2851 3566 5702 7132 11113 11404 12481 14264 19957 22226 22808 24962 28528 39914 41009 44452 45616 49924 65573 77791 79828 82018 88904 99848 131146 155582 159656 164036 177808 199696 255599 262292 287063 311164 319312 328072 459011 511198 524584 574126 622328 656144 918022 1022396 1049168 1148252 1244656 1789193 1836044 2044792 2296504 3578386 3672088 4089584 4593008 5083333 7156772 7344176 10166666 14313544 19814479 20333332 28627088 31683163 35583331 39628958 40666664 63366326 71166662 79257916 81333328 116916659 126732652 138701353 142333324 158515832 221782141 233833318 253465304 277402706 284666648 317031664 443564282 455733017 467666636 506930608 554805412 569333296 728712749 818416613 887128564 911466034 935333272 1109610824 1457425498 1636833226 1774257128 1822932068 1870666544 2219221648 2914850996 3190131119 3273666452 3548514256 3645864136 5100989243 5829701992 6380262238 6547332904 7291728272 10201978486 11659403984 12760524476 13094665808 20403956972 25521048952 40807913944 51042097904 56491079629 81615827888 112982159258 225964318516 395437557403 451928637032 790875114806 903857274064 1299294831467 1581750229612 2598589662934 3163500459224 5197179325868 6327000918448 9095063820269 10394358651736 18190127640538 20788717303472 36380255281076 72760510562152 145521021124304