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1042231035420 = 223451759365749
BaseRepresentation
bin11110010101010011100…
…11111000011000011100
310200122011212120022020000
433022221303320120130
5114033442121113140
62114443324054300
7135204312426201
oct17125163703034
93618155508200
101042231035420
1137200a280963
12149ba9094390
1377388627ab3
143863104dca8
151c19e04aa30
hexf2a9cf861c

1042231035420 has 120 divisors (see below), whose sum is σ = 3271385040000. Its totient is φ = 277769513088.

The previous prime is 1042231035413. The next prime is 1042231035479. The reversal of 1042231035420 is 245301322401.

1042231035420 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 231 + 0 + 3 + 5 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2666706 + ... + 3032454.

It is an arithmetic number, because the mean of its divisors is an integer number (27261542000).

Almost surely, 21042231035420 is an apocalyptic number.

1042231035420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042231035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635692520000).

1042231035420 is an abundant number, since it is smaller than the sum of its proper divisors (2229154004580).

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

1042231035420 is a wasteful number, since it uses less digits than its factorization.

1042231035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367529 (or 367518 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1042231035420 its reverse (245301322401), we get a palindrome (1287532357821).

The spelling of 1042231035420 in words is "one trillion, forty-two billion, two hundred thirty-one million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1759 3518 5277 7036 8795 10554 15831 17590 21108 26385 31662 35180 47493 52770 63324 79155 94986 105540 142479 158310 189972 237465 284958 316620 365749 474930 569916 712395 731498 949860 1097247 1424790 1462996 1828745 2194494 2849580 3291741 3657490 4388988 5486235 6583482 7314980 9875223 10972470 13166964 16458705 19750446 21944940 29625669 32917410 39500892 49376115 59251338 65834820 98752230 118502676 148128345 197504460 296256690 592513380 643352491 1286704982 1930057473 2573409964 3216762455 3860114946 5790172419 6433524910 7720229892 9650287365 11580344838 12867049820 17370517257 19300574730 23160689676 28950862095 34741034514 38601149460 52111551771 57901724190 69482069028 86852586285 104223103542 115803448380 173705172570 208446207084 260557758855 347410345140 521115517710 1042231035420