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145095920424 = 233271322145287
BaseRepresentation
bin1000011100100001100…
…1000000101100101000
3111212111222120110101200
42013020121000230220
54334124023423144
6150353421044200
713324416655110
oct2071031005450
9455458513350
10145095920424
1156597956624
12241543b6660
13108b4566520
14704633c040
153b932c3c69
hex21c8640b28

145095920424 has 96 divisors (see below), whose sum is σ = 483653089920. Its totient is φ = 38267054208.

The previous prime is 145095920381. The next prime is 145095920483. The reversal of 145095920424 is 424029590541.

145095920424 is a `hidden beast` number, since 1 + 4 + 50 + 9 + 592 + 0 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×1450959204242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145095920424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11066092 + ... + 11079195.

It is an arithmetic number, because the mean of its divisors is an integer number (5038053020).

Almost surely, 2145095920424 is an apocalyptic number.

145095920424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145095920424 is an abundant number, since it is smaller than the sum of its proper divisors (338557169496).

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

145095920424 is a wasteful number, since it uses less digits than its factorization.

145095920424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22145319 (or 22145312 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 145095920424 in words is "one hundred forty-five billion, ninety-five million, nine hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 22145287 44290574 66435861 88581148 132871722 155017009 177162296 199307583 265743444 287888731 310034018 398615166 465051027 531486888 575777462 620068036 797230332 863666193 930102054 1151554924 1240136072 1395153081 1594460664 1727332386 1860204108 2015221117 2303109848 2590998579 2790306162 3454664772 3720408216 4030442234 5181997158 5580612324 6045663351 6909329544 8060884468 10363994316 11161224648 12091326702 16121768936 18136990053 20727988632 24182653404 36273980106 48365306808 72547960212 145095920424