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10423430134400 = 27527941231923
BaseRepresentation
bin1001011110101110010011…
…0110011011101010000000
31100220110200202201202212202
42113223210312123222000
52331234141103300100
634100242510212332
72124032213165123
oct227534466335200
940813622652782
1010423430134400
113359608633158
1212041697b40a8
135a7c049b84ca
142806d4d8a3ba
1513120d7b37d5
hex97ae4d9ba80

10423430134400 has 96 divisors (see below), whose sum is σ = 26075068737600. Its totient is φ = 4116595092480.

The previous prime is 10423430134379. The next prime is 10423430134457. The reversal of 10423430134400 is 443103432401.

It is a happy number.

10423430134400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20363162 + ... + 20868761.

It is an arithmetic number, because the mean of its divisors is an integer number (271615299350).

Almost surely, 210423430134400 is an apocalyptic number.

10423430134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10423430134400 is an abundant number, since it is smaller than the sum of its proper divisors (15651638603200).

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

10423430134400 is an equidigital number, since it uses as much as digits as its factorization.

10423430134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41232026 (or 41232009 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10423430134400 its reverse (443103432401), we get a palindrome (10866533566801).

The spelling of 10423430134400 in words is "ten trillion, four hundred twenty-three billion, four hundred thirty million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 128 158 160 200 316 320 395 400 632 640 790 800 1264 1580 1600 1975 2528 3160 3200 3950 5056 6320 7900 10112 12640 15800 25280 31600 50560 63200 126400 252800 41231923 82463846 164927692 206159615 329855384 412319230 659710768 824638460 1030798075 1319421536 1649276920 2061596150 2638843072 3257321917 3298553840 4123192300 5277686144 6514643834 6597107680 8246384600 13029287668 13194215360 16286609585 16492769200 26058575336 26388430720 32573219170 32985538400 52117150672 65146438340 65971076800 81433047925 104234301344 130292876680 131942153600 162866095850 208468602688 260585753360 325732191700 416937205376 521171506720 651464383400 1042343013440 1302928766800 2084686026880 2605857533600 5211715067200 10423430134400