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4131442432 = 28135359397
BaseRepresentation
bin1111011001000000…
…1100111100000000
3101122221001000120101
43312100030330000
531430122124212
61521543052144
7204244452445
oct36620147400
911587030511
104131442432
111830100937
12973741054
1350ac238c0
142b29ab9cc
15192a8b157
hexf640cf00

4131442432 has 144 divisors (see below), whose sum is σ = 9225226080. Its totient is φ = 1834500096.

The previous prime is 4131442429. The next prime is 4131442463. The reversal of 4131442432 is 2342441314.

It is a self number, because there is not a number n which added to its sum of digits gives 4131442432.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10406458 + ... + 10406854.

It is an arithmetic number, because the mean of its divisors is an integer number (64064070).

Almost surely, 24131442432 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 4131442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612613040).

4131442432 is an abundant number, since it is smaller than the sum of its proper divisors (5093783648).

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

4131442432 is a wasteful number, since it uses less digits than its factorization.

4131442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4131442432 is about 64276.2975909472. The cubic root of 4131442432 is about 1604.6016528070.

Adding to 4131442432 its reverse (2342441314), we get a palindrome (6473883746).

The spelling of 4131442432 in words is "four billion, one hundred thirty-one million, four hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 59 64 104 106 118 128 208 212 236 256 397 416 424 472 689 767 794 832 848 944 1378 1534 1588 1664 1696 1888 2756 3068 3127 3176 3328 3392 3776 5161 5512 6136 6254 6352 6784 7552 10322 11024 12272 12508 12704 13568 15104 20644 21041 22048 23423 24544 25016 25408 40651 41288 42082 44096 46846 49088 50032 50816 81302 82576 84164 88192 93692 98176 100064 101632 162604 165152 168328 176384 187384 196352 200128 273533 304499 325208 330304 336656 374768 400256 547066 608998 650416 660608 673312 749536 800512 1094132 1217996 1241419 1300832 1321216 1346624 1499072 2188264 2435992 2482838 2601664 2693248 2998144 4376528 4871984 4965676 5203328 5386496 5996288 8753056 9743968 9931352 10406656 16138447 17506112 19487936 19862704 32276894 35012224 38975872 39725408 64553788 70024448 77951744 79450816 129107576 158901632 258215152 317803264 516430304 1032860608 2065721216 4131442432