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40430561332 = 2274135998101
BaseRepresentation
bin100101101001110110…
…010110100000110100
310212100200020022121111
4211221312112200310
51130300210430312
630323515124404
72630623046440
oct455166264064
9125320208544
1040430561332
1116167aa8157
127a04143704
133a74334495
141d57849820
1510b96d58a7
hex969d96834

40430561332 has 48 divisors (see below), whose sum is σ = 83064925440. Its totient is φ = 16857504000.

The previous prime is 40430561299. The next prime is 40430561407. The reversal of 40430561332 is 23316503404.

It is a super-2 number, since 2×404305613322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40430561294 and 40430561303.

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 15 ways as a sum of consecutive naturals, for example, 363082 + ... + 461182.

It is an arithmetic number, because the mean of its divisors is an integer number (1730519280).

Almost surely, 240430561332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40430561332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41532462720).

40430561332 is an abundant number, since it is smaller than the sum of its proper divisors (42634364108).

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

40430561332 is a wasteful number, since it uses less digits than its factorization.

40430561332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98512 (or 98510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 40430561332 in words is "forty billion, four hundred thirty million, five hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 359 574 718 1148 1436 2513 5026 10052 14719 29438 58876 98101 103033 196202 206066 392404 412132 686707 1373414 2746828 4022141 8044282 16088564 28154987 35218259 56309974 70436518 112619948 140873036 246527813 493055626 986111252 1443948619 2887897238 5775794476 10107640333 20215280666 40430561332