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5144032212 = 223111012411601
BaseRepresentation
bin1001100101001101…
…11011001111010100
3111021111101220121120
410302212323033110
541013333012322
62210234243540
7241321360314
oct46246731724
914244356546
105144032212
1121aa7435a0
12bb68865b0
1363c94b357
1436b275444
15201907a5c
hex1329bb3d4

5144032212 has 96 divisors (see below), whose sum is σ = 13286706048. Its totient is φ = 1536000000.

The previous prime is 5144032211. The next prime is 5144032303. The reversal of 5144032212 is 2122304415.

It is a super-2 number, since 2×51440322122 = 52922134796187225888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144032211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3212212 + ... + 3213812.

It is an arithmetic number, because the mean of its divisors is an integer number (138403188).

Almost surely, 25144032212 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 5144032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643353024).

5144032212 is an abundant number, since it is smaller than the sum of its proper divisors (8142673836).

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

5144032212 is a wasteful number, since it uses less digits than its factorization.

5144032212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5144032212 is about 71721.9088703027. The cubic root of 5144032212 is about 1726.2402016858.

Adding to 5144032212 its reverse (2122304415), we get a palindrome (7266336627).

It can be divided in two parts, 514403 and 2212, that added together give a palindrome (516615).

The spelling of 5144032212 in words is "five billion, one hundred forty-four million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 241 303 404 482 606 723 964 1111 1212 1446 1601 2222 2651 2892 3202 3333 4444 4803 5302 6404 6666 7953 9606 10604 13332 15906 17611 19212 24341 31812 35222 48682 52833 70444 73023 97364 105666 146046 161701 211332 267751 292092 323402 385841 485103 535502 646804 771682 803253 970206 1071004 1157523 1543364 1606506 1778711 1940412 2315046 3213012 3557422 4244251 4630092 5336133 7114844 8488502 10672266 12732753 16977004 21344532 25465506 38969941 50931012 77939882 116909823 155879764 233819646 428669351 467639292 857338702 1286008053 1714677404 2572016106 5144032212