Search a number
-
+
11432214420 = 223511148911633
BaseRepresentation
bin10101010010110100…
…11011111110010100
31002111201201122221220
422221122123332110
5141403121330140
65130224010340
7553205135124
oct125132337624
932451648856
1011432214420
1149372069a0
1222707609b0
131102637b23
147a645cc84
1546d9b7bd0
hex2a969bf94

11432214420 has 96 divisors (see below), whose sum is σ = 34946674560. Its totient is φ = 2769346560.

The previous prime is 11432214401. The next prime is 11432214449. The reversal of 11432214420 is 2441223411.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 976924 + ... + 988556.

It is an arithmetic number, because the mean of its divisors is an integer number (364027860).

Almost surely, 211432214420 is an apocalyptic number.

11432214420 is a gapful number since it is divisible by the number (10) 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 11432214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17473337280).

11432214420 is an abundant number, since it is smaller than the sum of its proper divisors (23514460140).

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

11432214420 is a wasteful number, since it uses less digits than its factorization.

11432214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13145 (or 13143 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11432214420 its reverse (2441223411), we get a palindrome (13873437831).

The spelling of 11432214420 in words is "eleven billion, four hundred thirty-two million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1489 2978 4467 5956 7445 8934 11633 14890 16379 17868 22335 23266 29780 32758 34899 44670 46532 49137 58165 65516 69798 81895 89340 98274 116330 127963 139596 163790 174495 196548 232660 245685 255926 327580 348990 383889 491370 511852 639815 697980 767778 982740 1279630 1535556 1919445 2559260 3838890 7677780 17321537 34643074 51964611 69286148 86607685 103929222 173215370 190536907 207858444 259823055 346430740 381073814 519646110 571610721 762147628 952684535 1039292220 1143221442 1905369070 2286442884 2858053605 3810738140 5716107210 11432214420