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5214315040 = 255118633433
BaseRepresentation
bin1001101101100110…
…00010001000100000
3111110101122122112021
410312303002020200
541134331040130
62221224511224
7243133642444
oct46663021040
914411578467
105214315040
112236388080
12101631b514
1365138881c
1437672c824
15207b8c37a
hex136cc2220

5214315040 has 96 divisors (see below), whose sum is σ = 13458203136. Its totient is φ = 1893365760.

The previous prime is 5214315037. The next prime is 5214315049. The reversal of 5214315040 is 405134125.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5214314996 and 5214315014.

It is not an unprimeable number, because it can be changed into a prime (5214315049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1517164 + ... + 1520596.

It is an arithmetic number, because the mean of its divisors is an integer number (140189616).

Almost surely, 25214315040 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 5214315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729101568).

5214315040 is an abundant number, since it is smaller than the sum of its proper divisors (8243888096).

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

5214315040 is a wasteful number, since it uses less digits than its factorization.

5214315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5214315040 is about 72210.2142359376. The cubic root of 5214315040 is about 1734.0665293952.

Adding to 5214315040 its reverse (405134125), we get a palindrome (5619449165).

The spelling of 5214315040 in words is "five billion, two hundred fourteen million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 863 880 1726 1760 3433 3452 4315 6866 6904 8630 9493 13732 13808 17165 17260 18986 27464 27616 34330 34520 37763 37972 47465 54928 68660 69040 75526 75944 94930 109856 137320 138080 151052 151888 188815 189860 274640 302104 303776 377630 379720 549280 604208 755260 759440 1208416 1510520 1518880 2962679 3021040 5925358 6042080 11850716 14813395 23701432 29626790 32589469 47402864 59253580 65178938 94805728 118507160 130357876 162947345 237014320 260715752 325894690 474028640 521431504 651789380 1042863008 1303578760 2607157520 5214315040