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4154214132 = 2232674214091
BaseRepresentation
bin1111011110011100…
…0100011011110100
3101201111212221110200
43313213010123310
532001434323012
61524115120500
7204642144315
oct36747043364
911644787420
104154214132
111841a44622
1297b2a3130
13512867793
142b5a1860c
15194a883dc
hexf79c46f4

4154214132 has 72 divisors (see below), whose sum is σ = 10685586912. Its totient is φ = 1360497600.

The previous prime is 4154214121. The next prime is 4154214137. The reversal of 4154214132 is 2314124514.

4154214132 is a `hidden beast` number, since 415 + 4 + 214 + 1 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4154214096 and 4154214105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4154214137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1013407 + ... + 1017497.

Almost surely, 24154214132 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 4154214132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342793456).

4154214132 is an abundant number, since it is smaller than the sum of its proper divisors (6531372780).

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

4154214132 is a wasteful number, since it uses less digits than its factorization.

4154214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589 (or 4584 counting only the distinct ones).

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

The square root of 4154214132 is about 64453.1933421456. The cubic root of 4154214132 is about 1607.5443360634.

Adding to 4154214132 its reverse (2314124514), we get a palindrome (6468338646).

The spelling of 4154214132 in words is "four billion, one hundred fifty-four million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 421 603 804 842 1206 1263 1684 2412 2526 3789 4091 5052 7578 8182 12273 15156 16364 24546 28207 36819 49092 56414 73638 84621 112828 147276 169242 253863 274097 338484 507726 548194 822291 1015452 1096388 1644582 1722311 2466873 3289164 3444622 4933746 5166933 6889244 9867492 10333866 15500799 20667732 31001598 62003196 115394837 230789674 346184511 461579348 692369022 1038553533 1384738044 2077107066 4154214132