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201441134432 = 25176715673527
BaseRepresentation
bin1011101110011011010…
…0111100011101100000
3201020221210000220021202
42323212310330131200
511300022412300212
6232312450340332
720360620251056
oct2734664743540
9636853026252
10201441134432
11784812a589a
123305a28a6a8
1315cc3a70945
149a6d6601d6
15538ec420c2
hex2ee6d3c760

201441134432 has 96 divisors (see below), whose sum is σ = 426576181248. Its totient is φ = 93294913536.

The previous prime is 201441134423. The next prime is 201441134443. The reversal of 201441134432 is 234431144102.

It is a junction number, because it is equal to n+sod(n) for n = 201441134395 and 201441134404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57112253 + ... + 57115779.

It is an arithmetic number, because the mean of its divisors is an integer number (4443501888).

Almost surely, 2201441134432 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 201441134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213288090624).

201441134432 is an abundant number, since it is smaller than the sum of its proper divisors (225135046816).

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

201441134432 is a wasteful number, since it uses less digits than its factorization.

201441134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 201441134432 its reverse (234431144102), we get a palindrome (435872278534).

The spelling of 201441134432 in words is "two hundred one billion, four hundred forty-one million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 67 68 134 136 268 272 536 544 1072 1139 1567 2144 2278 3134 3527 4556 6268 7054 9112 12536 14108 18224 25072 26639 28216 36448 50144 53278 56432 59959 104989 106556 112864 119918 209978 213112 236309 239836 419956 426224 472618 479672 839912 852448 945236 959344 1679824 1784813 1890472 1918688 3359648 3569626 3780944 4017253 5526809 7139252 7561888 8034506 11053618 14278504 16069012 22107236 28557008 32138024 44214472 57114016 64276048 88428944 93955753 128552096 176857888 187911506 370296203 375823012 740592406 751646024 1481184812 1503292048 2962369624 3006584096 5924739248 6295035451 11849478496 12590070902 25180141804 50360283608 100720567216 201441134432