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200433314440 = 23561382321487
BaseRepresentation
bin1011101010101011000…
…0011010101010001000
3201011100112122100011101
42322222300122222020
511240441412030230
6232024445311144
720323632030262
oct2725260325210
9634315570141
10200433314440
1178004420807
1232a188654b4
1315b93026258
1499b5878b32
155331518aca
hex2eaac1aa88

200433314440 has 64 divisors (see below), whose sum is σ = 458509224960. Its totient is φ = 78834712320.

The previous prime is 200433314437. The next prime is 200433314491. The reversal of 200433314440 is 44413334002.

It is a junction number, because it is equal to n+sod(n) for n = 200433314399 and 200433314408.

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 15 ways as a sum of consecutive naturals, for example, 9317377 + ... + 9338863.

It is an arithmetic number, because the mean of its divisors is an integer number (7164206640).

Almost surely, 2200433314440 is an apocalyptic number.

200433314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200433314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229254612480).

200433314440 is an abundant number, since it is smaller than the sum of its proper divisors (258075910520).

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

200433314440 is a wasteful number, since it uses less digits than its factorization.

200433314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25382 (or 25378 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 200433314440 its reverse (44413334002), we get a palindrome (244846648442).

The spelling of 200433314440 in words is "two hundred billion, four hundred thirty-three million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 3823 7646 15292 19115 21487 30584 38230 42974 76460 85948 107435 152920 171896 214870 233203 429740 466406 859480 932812 1166015 1310707 1865624 2332030 2621414 4664060 5242828 6553535 9328120 10485656 13107070 26214140 52428280 82144801 164289602 328579204 410724005 657158408 821448010 1642896020 3285792040 5010832861 10021665722 20043331444 25054164305 40086662888 50108328610 100216657220 200433314440