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10420034114440 = 23515112953133187
BaseRepresentation
bin1001011110100001101001…
…1011101001001110001000
31100220010221002112002021201
42113220122123221032020
52331210212213130230
634054521513513544
72123552105405236
oct227503233511610
940803832462251
1010420034114440
113358125676095
1212035804128b4
135a77b3257142
14280491d37956
151310b05955ca
hex97a1a6e9388

10420034114440 has 64 divisors (see below), whose sum is σ = 23602341375360. Its totient is φ = 4140060172800.

The previous prime is 10420034114389. The next prime is 10420034114447. The reversal of 10420034114440 is 4441143002401.

It is a super-2 number, since 2×104200341144402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10420034114399 and 10420034114408.

It is not an unprimeable number, because it can be changed into a prime (10420034114447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78169527 + ... + 78302713.

It is an arithmetic number, because the mean of its divisors is an integer number (368786583990).

Almost surely, 210420034114440 is an apocalyptic number.

10420034114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420034114440 is an abundant number, since it is smaller than the sum of its proper divisors (13182307260920).

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

10420034114440 is a wasteful number, since it uses less digits than its factorization.

10420034114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146302 (or 146298 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10420034114440 its reverse (4441143002401), we get a palindrome (14861177116841).

The spelling of 10420034114440 in words is "ten trillion, four hundred twenty billion, thirty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 12953 25906 51812 64765 103624 129530 133187 259060 266374 518120 532748 665935 1065496 1331870 1955903 2663740 3911806 5327480 7823612 9779515 15647224 19559030 20111237 39118060 40222474 78236120 80444948 100556185 160889896 201112370 402224740 804449480 1725171211 3450342422 6900684844 8625856055 13801369688 17251712110 34503424220 69006848440 260500852861 521001705722 1042003411444 1302504264305 2084006822888 2605008528610 5210017057220 10420034114440