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145243523114000 = 24534111031605859
BaseRepresentation
bin100001000001100100100100…
…100110011110010000010000
3201001021010220212001121211222
4201001210210212132100100
5123014132213404122000
61232523541533024212
742410332621254353
oct4101444446362020
9631233825047758
10145243523114000
1142308483341703
1214359202025068
136307536a4660c
1427c1b771ba29a
1511bd1b60dea85
hex84192499e410

145243523114000 has 160 divisors (see below), whose sum is σ = 360091057697280. Its totient is φ = 56628976512000.

The previous prime is 145243523113993. The next prime is 145243523114017. The reversal of 145243523114000 is 411325342541.

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, 89643071 + ... + 91248929.

It is an arithmetic number, because the mean of its divisors is an integer number (2250569110608).

Almost surely, 2145243523114000 is an apocalyptic number.

145243523114000 is a gapful number since it is divisible by the number (10) 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 145243523114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180045528848640).

145243523114000 is an abundant number, since it is smaller than the sum of its proper divisors (214847534583280).

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

145243523114000 is a wasteful number, since it uses less digits than its factorization.

145243523114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607026 (or 1607010 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 145243523114000 its reverse (411325342541), we get a palindrome (145654848456541).

The spelling of 145243523114000 in words is "one hundred forty-five trillion, two hundred forty-three billion, five hundred twenty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1103 1640 2000 2050 2206 3280 4100 4412 5125 5515 8200 8824 10250 11030 16400 17648 20500 22060 27575 41000 44120 45223 55150 82000 88240 90446 110300 137875 180892 220600 226115 275750 361784 441200 452230 551500 723568 904460 1103000 1130575 1605859 1808920 2206000 2261150 3211718 3617840 4522300 5652875 6423436 8029295 9044600 11305750 12846872 16058590 18089200 22611500 25693744 32117180 40146475 45223000 64234360 65840219 80292950 90446000 128468720 131680438 160585900 200732375 263360876 321171800 329201095 401464750 526721752 642343600 658402190 802929500 1053443504 1316804380 1605859000 1646005475 1771262477 2633608760 3211718000 3292010950 3542524954 5267217520 6584021900 7085049908 8230027375 8856312385 13168043800 14170099816 16460054750 17712624770 26336087600 28340199632 32920109500 35425249540 44281561925 65840219000 70850499080 72621761557 88563123850 131680438000 141700998160 145243523114 177126247700 221407809625 290487046228 354252495400 363108807785 442815619250 580974092456 708504990800 726217615570 885631238500 1161948184912 1452435231140 1771262477000 1815544038925 2904870462280 3542524954000 3631088077850 5809740924560 7262176155700 9077720194625 14524352311400 18155440389250 29048704622800 36310880778500 72621761557000 145243523114000