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424253052432 = 243311127702983
BaseRepresentation
bin1100010110001110111…
…00111101011000010000
31111120001220222002101000
412023013130331120100
523422332240134212
6522522115142000
742436246305456
oct6130734753020
91446056862330
10424253052432
11153a19873690
126a2815a4900
13310121a8541
14167692709d6
15b080c231dc
hex62c773d610

424253052432 has 160 divisors (see below), whose sum is σ = 1338931445760. Its totient is φ = 127549054080.

The previous prime is 424253052427. The next prime is 424253052463. The reversal of 424253052432 is 234250352424.

424253052432 is a `hidden beast` number, since 4 + 2 + 42 + 530 + 52 + 4 + 32 = 666.

It is a super-2 number, since 2×4242530524322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252013 + ... + 954995.

It is an arithmetic number, because the mean of its divisors is an integer number (8368321536).

Almost surely, 2424253052432 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 424253052432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669465722880).

424253052432 is an abundant number, since it is smaller than the sum of its proper divisors (914678393328).

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

424253052432 is a wasteful number, since it uses less digits than its factorization.

424253052432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703138 (or 703126 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 424253052432 in words is "four hundred twenty-four billion, two hundred fifty-three million, fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 127 132 144 176 198 216 254 264 297 381 396 432 508 528 594 762 792 1016 1143 1188 1397 1524 1584 2032 2286 2376 2794 3048 3429 4191 4572 4752 5588 6096 6858 8382 9144 11176 12573 13716 16764 18288 22352 25146 27432 33528 37719 50292 54864 67056 75438 100584 150876 201168 301752 603504 702983 1405966 2108949 2811932 4217898 5623864 6326847 7732813 8435796 11247728 12653694 15465626 16871592 18980541 23198439 25307388 30931252 33743184 37961082 46396878 50614776 61862504 69595317 75922164 89278841 92793756 101229552 123725008 139190634 151844328 178557682 185587512 208785951 267836523 278381268 303688656 357115364 371175024 417571902 535673046 556762536 714230728 803509569 835143804 982067251 1071346092 1113525072 1428461456 1607019138 1670287608 1964134502 2142692184 2410528707 2946201753 3214038276 3340575216 3928269004 4285384368 4821057414 5892403506 6428076552 7856538008 8838605259 9642114828 11784807012 12856153104 15713076016 17677210518 19284229656 23569614024 26515815777 35354421036 38568459312 47139228048 53031631554 70708842072 106063263108 141417684144 212126526216 424253052432