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3031000430432 = 2513149409111953
BaseRepresentation
bin101100000110110101101…
…101000011011101100000
3101201202112122001022101012
4230012311231003131200
5344124442102233212
610240231122200052
7431661005365532
oct54066555033540
911652478038335
103031000430432
11a694927a7a17
1240b517ab3028
1318ca8c253070
14a69b6161852
1553c9b0d6922
hex2c1b5b43760

3031000430432 has 96 divisors (see below), whose sum is σ = 6471556106400. Its totient is φ = 1389078650880.

The previous prime is 3031000430413. The next prime is 3031000430441. The reversal of 3031000430432 is 2340340001303.

It is a junction number, because it is equal to n+sod(n) for n = 3031000430398 and 3031000430407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253570568 + ... + 253582520.

It is an arithmetic number, because the mean of its divisors is an integer number (67412042775).

Almost surely, 23031000430432 is an apocalyptic number.

3031000430432 is a gapful number since it is divisible by the number (32) 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 3031000430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235778053200).

3031000430432 is an abundant number, since it is smaller than the sum of its proper divisors (3440555675968).

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

3031000430432 is a wasteful number, since it uses less digits than its factorization.

3031000430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16216 (or 16208 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 3031000430432 its reverse (2340340001303), we get a palindrome (5371340431735).

The spelling of 3031000430432 in words is "three trillion, thirty-one billion, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 596 1192 1937 2384 3874 4091 4768 7748 8182 11953 15496 16364 23906 30992 32728 47812 53183 61984 65456 95624 106366 130912 155389 191248 212732 310778 382496 425464 609559 621556 850928 1219118 1243112 1701856 1780997 2438236 2486224 3561994 4876472 4972448 7123988 7924267 9752944 14247976 15848534 19505888 23152961 28495952 31697068 46305922 48899723 56991904 63394136 92611844 97799446 126788272 185223688 195598892 253576544 370447376 391197784 635696399 740894752 782395568 1271392798 1564791136 2542785596 5085571192 7286058727 10171142384 14572117454 20342284768 29144234908 58288469816 94718763451 116576939632 189437526902 233153879264 378875053804 757750107608 1515500215216 3031000430432