Search a number
-
+
1035241015242 = 237297101359419
BaseRepresentation
bin11110001000010010010…
…11000100011111001010
310122222010201121111011210
433010021023010133022
5113430133144441432
62111325543433550
7134536144303500
oct17041113043712
93588121544153
101035241015242
1136a052623285
121487781558b6
1376813407495
143816a970670
151bde05538cc
hexf1092c47ca

1035241015242 has 96 divisors (see below), whose sum is σ = 2457449426880. Its totient is φ = 289834675200.

The previous prime is 1035241015201. The next prime is 1035241015387. The reversal of 1035241015242 is 2425101425301.

It is a super-4 number, since 4×10352410152424 (a number of 49 digits) contains 4444 as substring.

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, 2700609 + ... + 3060027.

It is an arithmetic number, because the mean of its divisors is an integer number (25598431530).

Almost surely, 21035241015242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035241015242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228724713440).

1035241015242 is an abundant number, since it is smaller than the sum of its proper divisors (1422208411638).

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

1035241015242 is a wasteful number, since it uses less digits than its factorization.

1035241015242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359636 (or 359629 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 1035241015242 in words is "one trillion, thirty-five billion, two hundred forty-one million, fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 97 98 101 147 194 202 291 294 303 582 606 679 707 1358 1414 2037 2121 4074 4242 4753 4949 9506 9797 9898 14259 14847 19594 28518 29391 29694 58782 68579 137158 205737 359419 411474 480053 718838 960106 1078257 1440159 2156514 2515933 2880318 5031866 7547799 15095598 17611531 34863643 35223062 36301319 52834593 69727286 72602638 104590929 105669186 108903957 209181858 217807914 244045501 254109233 488091002 508218466 732136503 762327699 1464273006 1524655398 1708318507 1778764631 3416637014 3521227943 3557529262 5124955521 5336293893 7042455886 10249911042 10563683829 10672587786 21127367658 24648595601 49297191202 73945786803 147891573606 172540169207 345080338414 517620507621 1035241015242