Search a number
-
+
1711940142474 = 2331729521123427
BaseRepresentation
bin11000111010010111100…
…101011000010110001010
320001122211001101220111000
4120322113211120112022
5211022023134024344
63350242054315430
7234453321054402
oct30722745302612
96048731356430
101711940142474
11600036642331
12237951358b76
13c5587370133
145cc03427802
152e7e8bb8a69
hex18e9795858a

1711940142474 has 128 divisors (see below), whose sum is σ = 4175026156800. Its totient is φ = 517559777280.

The previous prime is 1711940142469. The next prime is 1711940142499. The reversal of 1711940142474 is 4742410491171.

1711940142474 is a `hidden beast` number, since 1 + 7 + 119 + 40 + 1 + 424 + 74 = 666.

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, 13808349 + ... + 13931775.

It is an arithmetic number, because the mean of its divisors is an integer number (32617391850).

Almost surely, 21711940142474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1711940142474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087513078400).

1711940142474 is an abundant number, since it is smaller than the sum of its proper divisors (2463086014326).

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

1711940142474 is a wasteful number, since it uses less digits than its factorization.

1711940142474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124005 (or 123999 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1711940142474 in words is "one trillion, seven hundred eleven billion, nine hundred forty million, one hundred forty-two thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 87 102 153 174 261 306 459 493 521 522 783 918 986 1042 1479 1563 1566 2958 3126 4437 4689 8857 8874 9378 13311 14067 15109 17714 26571 26622 28134 30218 45327 53142 79713 90654 123427 135981 159426 239139 246854 256853 271962 370281 407943 478278 513706 740562 770559 815886 1110843 1541118 2098259 2221686 2311677 3332529 3579383 4196518 4623354 6294777 6665058 6935031 7158766 10738149 12589554 13870062 18884331 21476298 32214447 37768662 56652993 60849511 64305467 64428894 96643341 113305986 121699022 128610934 182548533 192916401 193286682 365097066 385832802 547645599 578749203 1093192939 1095291198 1157498406 1642936797 1736247609 1864858543 2186385878 3279578817 3285873594 3472495218 3729717086 5594575629 6559157634 9838736451 11189151258 16783726887 19677472902 29516209353 31702595231 33567453774 50351180661 59032418706 63405190462 95107785693 100702361322 190215571386 285323357079 570646714158 855970071237 1711940142474