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132044111430 = 235711563101531
BaseRepresentation
bin111101011111001110…
…0010011111001000110
3110121211101021212100120
41322332130103321012
54130411243031210
6140354335322410
712353114266620
oct1727634237106
9417741255316
10132044111430
1150aaa505320
1221711380406
13c5b4524c1a
146568b67c10
15367c53b270
hex1ebe713e46

132044111430 has 128 divisors (see below), whose sum is σ = 395809099776. Its totient is φ = 27388732800.

The previous prime is 132044111417. The next prime is 132044111449. The reversal of 132044111430 is 34111440231.

It is a self number, because there is not a number n which added to its sum of digits gives 132044111430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1249765 + ... + 1351295.

It is an arithmetic number, because the mean of its divisors is an integer number (3092258592).

Almost surely, 2132044111430 is an apocalyptic number.

132044111430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132044111430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197904549888).

132044111430 is an abundant number, since it is smaller than the sum of its proper divisors (263764988346).

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

132044111430 is a wasteful number, since it uses less digits than its factorization.

132044111430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102122.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132044111430 its reverse (34111440231), we get a palindrome (166155551661).

The spelling of 132044111430 in words is "one hundred thirty-two billion, forty-four million, one hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 563 770 1126 1155 1689 2310 2815 3378 3941 5630 6193 7882 8445 11823 12386 16890 18579 19705 23646 30965 37158 39410 43351 59115 61930 86702 92895 101531 118230 130053 185790 203062 216755 260106 304593 433510 507655 609186 650265 710717 1015310 1116841 1300530 1421434 1522965 2132151 2233682 3045930 3350523 3553585 4264302 5584205 6701046 7107170 7817887 10660755 11168410 15635774 16752615 21321510 23453661 33505230 39089435 46907322 57161953 78178870 114323906 117268305 171485859 234536610 285809765 342971718 400133671 571619530 628781483 800267342 857429295 1200401013 1257562966 1714858590 1886344449 2000668355 2400802026 3143907415 3772688898 4001336710 4401470381 6002005065 6287814830 8802940762 9431722245 12004010130 13204411143 18863444490 22007351905 26408822286 44014703810 66022055715 132044111430