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5211342144 = 263321114293
BaseRepresentation
bin1001101101001111…
…01100010101000000
3111110012001121111000
410312213230111000
541133100422034
62221041052000
7243066451221
oct46647542500
914405047430
105211342144
112234737538
121015327000
13650887608
14376197248
152077a1599
hex1369ec540

5211342144 has 112 divisors (see below), whose sum is σ = 15394066240. Its totient is φ = 1728760320.

The previous prime is 5211342133. The next prime is 5211342233. The reversal of 5211342144 is 4412431125.

5211342144 is a `hidden beast` number, since 521 + 134 + 2 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 357462 + ... + 371754.

It is an arithmetic number, because the mean of its divisors is an integer number (137447020).

Almost surely, 25211342144 is an apocalyptic number.

5211342144 is a gapful number since it is divisible by the number (54) 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 5211342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697033120).

5211342144 is an abundant number, since it is smaller than the sum of its proper divisors (10182724096).

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

5211342144 is a wasteful number, since it uses less digits than its factorization.

5211342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525 (or 14509 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5211342144 is about 72189.6262907629. The cubic root of 5211342144 is about 1733.7369124688.

Adding to 5211342144 its reverse (4412431125), we get a palindrome (9623773269).

The spelling of 5211342144 in words is "five billion, two hundred eleven million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 211 216 288 422 432 576 633 844 864 1266 1688 1728 1899 2532 3376 3798 5064 5697 6752 7596 10128 11394 13504 14293 15192 20256 22788 28586 30384 40512 42879 45576 57172 60768 85758 91152 114344 121536 128637 171516 182304 228688 257274 343032 364608 385911 457376 514548 686064 771822 914752 1029096 1372128 1543644 2058192 2744256 3015823 3087288 4116384 6031646 6174576 8232768 9047469 12063292 12349152 18094938 24126584 24698304 27142407 36189876 48253168 54284814 72379752 81427221 96506336 108569628 144759504 162854442 193012672 217139256 289519008 325708884 434278512 579038016 651417768 868557024 1302835536 1737114048 2605671072 5211342144