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10424134423400 = 23522317467129737
BaseRepresentation
bin1001011110110000111011…
…0101000101001101101000
31100220112111211222100202112
42113230032311011031220
52331242111403022100
634100440425421452
72124055524431615
oct227541665051550
940815454870675
1010424134423400
11335993a141985
12120432563a888
135a7cb7899b69
1428076071d50c
15131250531b35
hex97b0ed45368

10424134423400 has 96 divisors (see below), whose sum is σ = 25291499365440. Its totient is φ = 3988105397760.

The previous prime is 10424134423363. The next prime is 10424134423403. The reversal of 10424134423400 is 432443142401.

10424134423400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104241344234002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10424134423403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80283332 + ... + 80413068.

It is an arithmetic number, because the mean of its divisors is an integer number (263453118390).

Almost surely, 210424134423400 is an apocalyptic number.

10424134423400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424134423400 is an abundant number, since it is smaller than the sum of its proper divisors (14867364942040).

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

10424134423400 is a wasteful number, since it uses less digits than its factorization.

10424134423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147243 (or 147234 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 10424134423400 its reverse (432443142401), we get a palindrome (10856577565801).

The spelling of 10424134423400 in words is "ten trillion, four hundred twenty-four billion, one hundred thirty-four million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 17467 34934 69868 87335 129737 139736 174670 259474 349340 401741 436675 518948 648685 698680 803482 873350 1037896 1297370 1606964 1746700 2008705 2594740 2983951 3213928 3243425 3493400 4017410 5189480 5967902 6486850 8034820 10043525 11935804 12973700 14919755 16069640 20087050 23871608 25947400 29839510 40174100 59679020 74598775 80348200 119358040 149197550 298395100 596790200 2266116179 4532232358 9064464716 11330580895 18128929432 22661161790 45322323580 52120672117 56652904475 90644647160 104241344234 113305808950 208482688468 226611617900 260603360585 416965376936 453223235800 521206721170 1042413442340 1303016802925 2084826884680 2606033605850 5212067211700 10424134423400