Search a number
-
+
1020422240334 = 232728370140823
BaseRepresentation
bin11101101100101011110…
…01111011100001001110
310121112212222110201120200
432312111321323201032
5113204311043142314
62100435301554330
7133503004634220
oct16662571734116
93545788421520
101020422240334
11363838830372
121459214159a6
13752c12a0b13
1437562842410
151b8245da709
hexed95e7b84e

1020422240334 has 96 divisors (see below), whose sum is σ = 2539367760384. Its totient is φ = 290097460800.

The previous prime is 1020422240329. The next prime is 1020422240363. The reversal of 1020422240334 is 4330422240201.

1020422240334 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 222 + 403 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1020422240298 and 1020422240307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24975847 + ... + 25016669.

It is an arithmetic number, because the mean of its divisors is an integer number (26451747504).

Almost surely, 21020422240334 is an apocalyptic number.

1020422240334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020422240334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269683880192).

1020422240334 is an abundant number, since it is smaller than the sum of its proper divisors (1518945520050).

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

1020422240334 is a wasteful number, since it uses less digits than its factorization.

1020422240334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41822 (or 41819 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1020422240334 its reverse (4330422240201), we get a palindrome (5350844480535).

The spelling of 1020422240334 in words is "one trillion, twenty billion, four hundred twenty-two million, two hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 283 566 701 849 1402 1698 1981 2103 2547 3962 4206 4907 5094 5943 6309 9814 11886 12618 14721 17829 29442 35658 40823 44163 81646 88326 122469 198383 244938 285761 367407 396766 571522 595149 734814 857283 1190298 1388681 1714566 1785447 2571849 2777362 3570894 4166043 5143698 8332086 11552909 12498129 23105818 24996258 28616923 34658727 57233846 69317454 80870363 85850769 103976181 161740726 171701538 200318461 207952362 242611089 257552307 400636922 485222178 515104614 600955383 727833267 1201910766 1455666534 1802866149 3605732298 8098589209 16197178418 24295767627 48591535254 56690124463 72887302881 113380248926 145774605762 170070373389 340140746778 510211120167 1020422240334