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1051435066040 = 23543643950699
BaseRepresentation
bin11110100110011100110…
…10011110001010111000
310201111221022120111121222
433103032122132022320
5114211314334103130
62123004514251212
7135651353412542
oct17231632361270
93644838514558
101051435066040
11375a02758337
1214b937586b08
13781c4443b68
1438c655b6692
151c53c0cace5
hexf4ce69e2b8

1051435066040 has 64 divisors (see below), whose sum is σ = 2424513168000. Its totient is φ = 410153933952.

The previous prime is 1051435066037. The next prime is 1051435066051. The reversal of 1051435066040 is 406605341501.

It is a super-2 number, since 2×10514350660402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630611 + ... + 1581309.

It is an arithmetic number, because the mean of its divisors is an integer number (37883018250).

Almost surely, 21051435066040 is an apocalyptic number.

1051435066040 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 1051435066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212256584000).

1051435066040 is an abundant number, since it is smaller than the sum of its proper divisors (1373078101960).

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

1051435066040 is a wasteful number, since it uses less digits than its factorization.

1051435066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951396 (or 951392 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 1051435066040 in words is "one trillion, fifty-one billion, four hundred thirty-five million, sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 643 860 1286 1720 2572 3215 5144 6430 12860 25720 27649 55298 110596 138245 221192 276490 552980 950699 1105960 1901398 3802796 4753495 7605592 9506990 19013980 38027960 40880057 81760114 163520228 204400285 327040456 408800570 611299457 817601140 1222598914 1635202280 2445197828 3056497285 4890395656 6112994570 12225989140 24451978280 26285876651 52571753302 105143506604 131429383255 210287013208 262858766510 525717533020 1051435066040