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4425024435030 = 233583404948767
BaseRepresentation
bin100000001100100100000…
…0000100111001101010110
3120200000202120011002022000
41000121020000213031112
51034444422223410110
613224454514420130
7634461142045503
oct100311000471526
916600676132260
104425024435030
111456707a2a431
125b5723891646
1326137ca47284
1411425ac0a4aa
157a1897a11c0
hex40648027356

4425024435030 has 128 divisors (see below), whose sum is σ = 11945428992000. Its totient is φ = 1165477750272.

The previous prime is 4425024435001. The next prime is 4425024435109. The reversal of 4425024435030 is 305344205244.

4425024435030 is a `hidden beast` number, since 4 + 4 + 250 + 24 + 4 + 350 + 30 = 666.

It is a super-2 number, since 2×44250244350302 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90713707 + ... + 90762473.

It is an arithmetic number, because the mean of its divisors is an integer number (93323664000).

Almost surely, 24425024435030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4425024435030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5972714496000).

4425024435030 is an abundant number, since it is smaller than the sum of its proper divisors (7520404556970).

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

4425024435030 is a wasteful number, since it uses less digits than its factorization.

4425024435030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52915 (or 52909 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 4425024435030 in words is "four trillion, four hundred twenty-five billion, twenty-four million, four hundred thirty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4049 4482 7470 8098 11205 12147 20245 22410 24294 36441 40490 48767 60735 72882 97534 109323 121470 146301 182205 218646 243835 292602 336067 364410 438903 487670 546615 672134 731505 877806 1008201 1093230 1316709 1463010 1680335 2016402 2194515 2633418 3024603 3360670 4047661 4389030 5041005 6049206 6583545 8095322 9073809 10082010 12142983 13167090 15123015 18147618 20238305 24285966 30246030 36428949 40476610 45369045 60714915 72857898 90738090 109286847 121429830 182144745 197457583 218573694 364289490 394915166 546434235 592372749 987287915 1092868470 1184745498 1777118247 1974575830 2961863745 3554236494 5331354741 5923727490 8885591235 10662709482 16388979389 17771182470 26656773705 32777958778 49166938167 53313547410 81944896945 98333876334 147500814501 163889793890 245834690835 295001629002 442502443503 491669381670 737504072505 885004887006 1475008145010 2212512217515 4425024435030