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38043136230 = 23511541213091
BaseRepresentation
bin100011011011100011…
…000011000011100110
310122012021212120001120
4203123203003003212
51110403020324410
625250552234410
72514513215421
oct433343030346
9118167776046
1038043136230
11151523a4360
12745869ba06
13378382c3c8
141bac7409b8
15ec9ce5570
hex8db8c30e6

38043136230 has 64 divisors (see below), whose sum is σ = 99788426496. Its totient is φ = 9205488000.

The previous prime is 38043136193. The next prime is 38043136247. The reversal of 38043136230 is 3263134083.

It is a super-2 number, since 2×380431362302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 38043136191 and 38043136200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71985 + ... + 285075.

It is an arithmetic number, because the mean of its divisors is an integer number (1559194164).

Almost surely, 238043136230 is an apocalyptic number.

38043136230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38043136230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49894213248).

38043136230 is an abundant number, since it is smaller than the sum of its proper divisors (61745290266).

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

38043136230 is a wasteful number, since it uses less digits than its factorization.

38043136230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213653.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 38043136230 in words is "thirty-eight billion, forty-three million, one hundred thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 541 1082 1623 2705 3246 5410 5951 8115 11902 16230 17853 29755 35706 59510 89265 178530 213091 426182 639273 1065455 1278546 2130910 2344001 3196365 4688002 6392730 7032003 11720005 14064006 23440010 35160015 70320030 115282231 230564462 345846693 576411155 691693386 1152822310 1268104541 1729233465 2536209082 3458466930 3804313623 6340522705 7608627246 12681045410 19021568115 38043136230