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11404440132032 = 261013347527129
BaseRepresentation
bin1010010111110100110110…
…0110100101100111000000
31111101020212001010010101202
42211331031212211213000
52443322243133211112
640131043311120332
72254641441450563
oct245751546454700
944336761103352
1011404440132032
1136a7661161212
12134230bb130a8
1364958490704c
142b5d992dc4da
1514b9c7cb76c2
hexa5f4d9a59c0

11404440132032 has 56 divisors (see below), whose sum is σ = 22861623882960. Its totient is φ = 5644064921600.

The previous prime is 11404440131947. The next prime is 11404440132067. The reversal of 11404440132032 is 23023104440411.

11404440132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114044401320322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11404440131986 and 11404440132004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21371444 + ... + 21898572.

Almost surely, 211404440132032 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 11404440132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430811941480).

11404440132032 is an abundant number, since it is smaller than the sum of its proper divisors (11457183750928).

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

11404440132032 is a wasteful number, since it uses less digits than its factorization.

11404440132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530589 (or 530579 counting only the distinct ones).

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

Adding to 11404440132032 its reverse (23023104440411), we get a palindrome (34427544572443).

The spelling of 11404440132032 in words is "eleven trillion, four hundred four billion, four hundred forty million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 3347 6464 6694 13388 26776 53552 107104 214208 338047 527129 676094 1054258 1352188 2108516 2704376 4217032 5408752 8434064 10817504 16868128 21635008 33736256 53240029 106480058 212960116 425920232 851840464 1703680928 1764300763 3407361856 3528601526 7057203052 14114406104 28228812208 56457624416 112915248832 178194377063 356388754126 712777508252 1425555016504 2851110033008 5702220066016 11404440132032