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1040562140340 = 2235167997104161
BaseRepresentation
bin11110010010001100101…
…01100011010010110100
310200110212120020122120010
433021012111203102310
5114022032401442330
62114005545540220
7135115046153652
oct17110625432264
93613776218503
101040562140340
11371333223328
121498021a4670
137718094c408
1438513543dd2
151c10278d3b0
hexf2465634b4

1040562140340 has 96 divisors (see below), whose sum is σ = 2933988551424. Its totient is φ = 275542364160.

The previous prime is 1040562140327. The next prime is 1040562140461. The reversal of 1040562140340 is 430412650401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1040562140298 and 1040562140307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9937860 + ... + 10042020.

It is an arithmetic number, because the mean of its divisors is an integer number (30562380744).

Almost surely, 21040562140340 is an apocalyptic number.

1040562140340 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 1040562140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466994275712).

1040562140340 is an abundant number, since it is smaller than the sum of its proper divisors (1893426411084).

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

1040562140340 is a wasteful number, since it uses less digits than its factorization.

1040562140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105337 (or 105335 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1040562140340 its reverse (430412650401), we get a palindrome (1470974790741).

The spelling of 1040562140340 in words is "one trillion, forty billion, five hundred sixty-two million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 997 1002 1670 1994 2004 2505 2991 3340 3988 4985 5010 5982 9970 10020 11964 14955 19940 29910 59820 104161 166499 208322 312483 332998 416644 499497 520805 624966 665996 832495 998994 1041610 1249932 1562415 1664990 1997988 2083220 2497485 3124830 3329980 4994970 6249660 9989940 17394887 34789774 52184661 69579548 86974435 103848517 104369322 173948870 207697034 208738644 260923305 311545551 347897740 415394068 519242585 521846610 623091102 1038485170 1043693220 1246182204 1557727755 2076970340 3115455510 6230911020 17342702339 34685404678 52028107017 69370809356 86713511695 104056214034 173427023390 208112428068 260140535085 346854046780 520281070170 1040562140340