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145124445455100 = 22335279680377147
BaseRepresentation
bin100000111111110101101011…
…000001010000001011111100
3201000211202120010102210111000
4200333311223001100023330
5123010204331014030400
61232353125545330300
742365616022000146
oct4077655301201374
9630752503383430
10145124445455100
1142271a28089061
121433a10b196990
1362c923a978817
1427ba0bc567c96
1511ba0470ca600
hex83fd6b0502fc

145124445455100 has 144 divisors (see below), whose sum is σ = 472453891571200. Its totient is φ = 38209980519360.

The previous prime is 145124445455071. The next prime is 145124445455107. The reversal of 145124445455100 is 1554544421541.

145124445455100 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 2 + 4 + 44 + 54 + 551 + 0 + 0 = 666.

145124445455100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451244454551002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145124445455107) 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, 339975274 + ... + 340401873.

Almost surely, 2145124445455100 is an apocalyptic number.

145124445455100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145124445455100 is an abundant number, since it is smaller than the sum of its proper divisors (327329446116100).

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

145124445455100 is a wasteful number, since it uses less digits than its factorization.

145124445455100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680377249 (or 680377236 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

Adding to 145124445455100 its reverse (1554544421541), we get a palindrome (146678989876641).

The spelling of 145124445455100 in words is "one hundred forty-five trillion, one hundred twenty-four billion, four hundred forty-five million, four hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 79 90 100 108 135 150 158 180 225 237 270 300 316 395 450 474 540 675 711 790 900 948 1185 1350 1422 1580 1975 2133 2370 2700 2844 3555 3950 4266 4740 5925 7110 7900 8532 10665 11850 14220 17775 21330 23700 35550 42660 53325 71100 106650 213300 680377147 1360754294 2041131441 2721508588 3401885735 4082262882 6123394323 6803771470 8164525764 10205657205 12246788646 13607542940 17009428675 18370182969 20411314410 24493577292 30616971615 34018857350 36740365938 40822628820 51028286025 53749794613 61233943230 68037714700 73480731876 91850914845 102056572050 107499589226 122467886460 153084858075 161249383839 183701829690 204113144100 214999178452 268748973065 306169716150 322498767678 367403659380 459254574225 483748151517 537497946130 612339432300 644997535356 806246919195 918509148450 967496303034 1074995892260 1343744865325 1451244454551 1612493838390 1837018296900 1934992606068 2418740757585 2687489730650 2902488909102 3224987676780 4031234595975 4837481515170 5374979461300 5804977818204 7256222272755 8062469191950 9674963030340 12093703787925 14512444545510 16124938383900 24187407575850 29024889091020 36281111363775 48374815151700 72562222727550 145124445455100