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4201001024 = 261114874013
BaseRepresentation
bin1111101001100110…
…0011000001000000
3101211202220222000112
43322121203001000
532100424013044
61532510010452
7206050630253
oct37231430100
911752828015
104201001024
1118663a0280
12992aa6a28
1351c46952c
142bbd1709a
15198c2b09e
hexfa663040

4201001024 has 56 divisors (see below), whose sum is σ = 9102595968. Its totient is φ = 1907786240.

The previous prime is 4201000981. The next prime is 4201001027.

4201001024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4201001027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044842 + ... + 1048854.

Almost surely, 24201001024 is an apocalyptic number.

4201001024 is a gapful number since it is divisible by the number (44) 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 4201001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551297984).

4201001024 is an abundant number, since it is smaller than the sum of its proper divisors (4901594944).

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

4201001024 is a wasteful number, since it uses less digits than its factorization.

4201001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4201001024 is about 64815.1295917859. The cubic root of 4201001024 is about 1613.5568168580.

It can be divided in two parts, 420100 and 1024, that added together give a palindrome (421124).

The spelling of 4201001024 in words is "four billion, two hundred one million, one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1487 2974 4013 5948 8026 11896 16052 16357 23792 32104 32714 44143 47584 64208 65428 88286 95168 128416 130856 176572 256832 261712 353144 523424 706288 1046848 1412576 2825152 5967331 11934662 23869324 47738648 65640641 95477296 131281282 190954592 262562564 381909184 525125128 1050250256 2100500512 4201001024