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10142203401432 = 233483188572873
BaseRepresentation
bin1001001110010110101001…
…1011100101010011011000
31022220120210121000112010000
42103211222123211103120
52312132213032321212
633323133001253000
72064515153330424
oct223455233452330
938816717015100
1010142203401432
113260314460283
121179763494160
1358753737013b
14270c57241b84
15128c4e3041dc
hex9396a6e54d8

10142203401432 has 80 divisors (see below), whose sum is σ = 28749820370040. Its totient is φ = 3340002708864.

The previous prime is 10142203401427. The next prime is 10142203401443. The reversal of 10142203401432 is 23410430224101.

10142203401432 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 220 + 3 + 4 + 0 + 1 + 432 = 666.

10142203401432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10142203401396 and 10142203401405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94232653 + ... + 94340220.

Almost surely, 210142203401432 is an apocalyptic number.

10142203401432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10142203401432 is an abundant number, since it is smaller than the sum of its proper divisors (18607616968608).

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

10142203401432 is a wasteful number, since it uses less digits than its factorization.

10142203401432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188572974 (or 188572961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10142203401432 its reverse (23410430224101), we get a palindrome (33552633625533).

The spelling of 10142203401432 in words is "ten trillion, one hundred forty-two billion, two hundred three million, four hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 1494 1992 2241 2988 4482 5976 6723 8964 13446 17928 26892 53784 188572873 377145746 565718619 754291492 1131437238 1508582984 1697155857 2262874476 3394311714 4525748952 5091467571 6788623428 10182935142 13577246856 15274402713 15651548459 20365870284 30548805426 31303096918 40731740568 46954645377 61097610852 62606193836 93909290754 122195221704 125212387672 140863936131 187818581508 281727872262 375637163016 422591808393 563455744524 845183616786 1126911489048 1267775425179 1690367233572 2535550850358 3380734467144 5071101700716 10142203401432