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4131434502 = 2321322774903
BaseRepresentation
bin1111011001000000…
…1011000000000110
3101122221000121200200
43312100023000012
531430121401002
61521542551330
7204244420356
oct36620130006
911587017620
104131434502
1118300a5988
12973738546
1350ac20100
142b29a8b66
15192a88b1c
hexf640b006

4131434502 has 72 divisors (see below), whose sum is σ = 9729957744. Its totient is φ = 1266363072.

The previous prime is 4131434491. The next prime is 4131434507. The reversal of 4131434502 is 2054341314.

It is a happy number.

4131434502 is a `hidden beast` number, since 4 + 1 + 314 + 345 + 0 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131434507) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 840183 + ... + 845085.

It is an arithmetic number, because the mean of its divisors is an integer number (135138302).

Almost surely, 24131434502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131434502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864978872).

4131434502 is an abundant number, since it is smaller than the sum of its proper divisors (5598523242).

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

4131434502 is a wasteful number, since it uses less digits than its factorization.

4131434502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4131434502 is about 64276.2359041038. The cubic root of 4131434502 is about 1604.6006261681.

Adding to 4131434502 its reverse (2054341314), we get a palindrome (6185775816).

The spelling of 4131434502 in words is "four billion, one hundred thirty-one million, four hundred thirty-four thousand, five hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 277 338 507 554 831 1014 1521 1662 2493 3042 3601 4903 4986 7202 9806 10803 14709 21606 29418 32409 44127 46813 63739 64818 88254 93626 127478 140439 191217 280878 382434 421317 573651 828607 842634 1147302 1358131 1657214 2485821 2716262 4074393 4971642 7457463 8148786 12223179 14914926 17655703 24446358 35311406 52967109 105934218 158901327 229524139 317802654 459048278 688572417 1377144834 2065717251 4131434502