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142424236166040 = 233251073697410077
BaseRepresentation
bin100000011000100010111010…
…000000010000101110011000
3200200021121211220021120011100
4200120202322000100232120
5122131434313424303130
61222524442453231400
741666545225512303
oct4030427200205630
9620247756246140
10142424236166040
1141420863361714
1213b82930632560
1361617177ba14a
142725526a93b3a
15116ebab9a3c60
hex8188ba010b98

142424236166040 has 96 divisors (see below), whose sum is σ = 467204737456080. Its totient is φ = 37624844933376.

The previous prime is 142424236165997. The next prime is 142424236166041. The reversal of 142424236166040 is 40661632424241.

142424236166040 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 4 + 2 + 36 + 1 + 6 + 604 + 0 = 666.

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 (142424236166041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1848666519 + ... + 1848743558.

Almost surely, 2142424236166040 is an apocalyptic number.

142424236166040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142424236166040 is an abundant number, since it is smaller than the sum of its proper divisors (324780501290040).

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

142424236166040 is a wasteful number, since it uses less digits than its factorization.

142424236166040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697410201 (or 3697410194 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 142424236166040 in words is "one hundred forty-two trillion, four hundred twenty-four billion, two hundred thirty-six million, one hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1284 1605 1926 2140 2568 3210 3852 4280 4815 6420 7704 9630 12840 19260 38520 3697410077 7394820154 11092230231 14789640308 18487050385 22184460462 29579280616 33276690693 36974100770 44368920924 55461151155 66553381386 73948201540 88737841848 110922302310 133106762772 147896403080 166383453465 221844604620 266213525544 332766906930 395622878239 443689209240 665533813860 791245756478 1186868634717 1331067627720 1582491512956 1978114391195 2373737269434 3164983025912 3560605904151 3956228782390 4747474538868 5934343173585 7121211808302 7912457564780 9494949077736 11868686347170 14242423616604 15824915129560 17803029520755 23737372694340 28484847233208 35606059041510 47474745388680 71212118083020 142424236166040