Search a number
-
+
424150682112 = 2932163564703
BaseRepresentation
bin1100010110000010101…
…10011100101000000000
31111112210210100010200200
412023001112130220000
523422130033311422
6522504021045200
742433564211643
oct6130126345000
91445723303620
10424150682112
11153977003313
126a253256800
1330cc6c14ba1
1416759823a5a
15b076c512ac
hex62c159ca00

424150682112 has 120 divisors (see below), whose sum is σ = 1231639753344. Its totient is φ = 140515928064.

The previous prime is 424150681987. The next prime is 424150682119. The reversal of 424150682112 is 211286051424.

424150682112 is a `hidden beast` number, since 424 + 15 + 0 + 6 + 8 + 211 + 2 = 666.

It is a super-2 number, since 2×4241506821122 (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 not an unprimeable number, because it can be changed into a prime (424150682119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 468753 + ... + 1033455.

Almost surely, 2424150682112 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 424150682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615819876672).

424150682112 is an abundant number, since it is smaller than the sum of its proper divisors (807489071232).

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

424150682112 is a wasteful number, since it uses less digits than its factorization.

424150682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564890 (or 564871 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 424150682112 in words is "four hundred twenty-four billion, one hundred fifty million, six hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 512 576 652 768 978 1152 1304 1467 1536 1956 2304 2608 2934 3912 4608 5216 5868 7824 10432 11736 15648 20864 23472 31296 41728 46944 62592 83456 93888 125184 187776 250368 375552 564703 751104 1129406 1694109 2258812 3388218 4517624 5082327 6776436 9035248 10164654 13552872 18070496 20329308 27105744 36140992 40658616 54211488 72281984 81317232 92046589 108422976 144563968 162634464 184093178 216845952 276139767 289127936 325268928 368186356 433691904 552279534 650537856 736372712 828419301 867383808 1104559068 1301075712 1472745424 1656838602 2209118136 2602151424 2945490848 3313677204 4418236272 5890981696 6627354408 8836472544 11781963392 13254708816 17672945088 23563926784 26509417632 35345890176 47127853568 53018835264 70691780352 106037670528 141383560704 212075341056 424150682112