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1054101360040 = 2352936716127
BaseRepresentation
bin11110101011011010101…
…01100100110110101000
310201202211010200021101121
433111231111210312220
5114232244422010130
62124125242225024
7136104420503461
oct17255525446650
93652733607347
101054101360040
113770508124a3
121503604b5174
137852a958811
1439039753d68
151c646203d7a
hexf56d564da8

1054101360040 has 128 divisors (see below), whose sum is σ = 2493246873600. Its totient is φ = 401000210688.

The previous prime is 1054101360023. The next prime is 1054101360097. The reversal of 1054101360040 is 400631014501.

It is a super-2 number, since 2×10541013600402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054101359987 and 1054101360014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65354457 + ... + 65370583.

It is an arithmetic number, because the mean of its divisors is an integer number (19478491200).

Almost surely, 21054101360040 is an apocalyptic number.

1054101360040 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 1054101360040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246623436800).

1054101360040 is an abundant number, since it is smaller than the sum of its proper divisors (1439145513560).

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

1054101360040 is an equidigital number, since it uses as much as digits as its factorization.

1054101360040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16292 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1054101360040 its reverse (400631014501), we get a palindrome (1454732374541).

It can be divided in two parts, 1054101 and 360040, that added together give a palindrome (1414141).

The spelling of 1054101360040 in words is "one trillion, fifty-four billion, one hundred one million, three hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 67 116 134 145 232 268 290 335 536 580 670 841 1160 1340 1682 1943 2680 3364 3886 4205 6728 7772 8410 9715 15544 16127 16820 19430 24389 32254 33640 38860 48778 56347 64508 77720 80635 97556 112694 121945 129016 161270 195112 225388 243890 281735 322540 450776 467683 487780 563470 645080 935366 975560 1080509 1126940 1634063 1870732 2161018 2253880 2338415 3268126 3741464 4322036 4676830 5402545 6536252 8170315 8644072 9353660 10805090 13072504 13562807 16340630 18707320 21610180 27125614 31334761 32681260 43220360 54251228 62669522 65362520 67814035 108502456 125339044 135628070 156673805 250678088 271256140 313347610 393321403 542512280 626695220 786642806 908708069 1253390440 1573285612 1817416138 1966607015 3146571224 3634832276 3933214030 4543540345 7269664552 7866428060 9087080690 15732856120 18174161380 26352534001 36348322760 52705068002 105410136004 131762670005 210820272008 263525340010 527050680020 1054101360040