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1128416113404 = 2232238871536439
BaseRepresentation
bin10000011010111010110…
…101110111001011111100
310222212122020222220011100
4100122322311313023330
5121441444011112104
62222215345253100
7144345126464136
oct20327265671374
93885566886140
101128416113404
113a5616529638
12162840334190
1382541c89968
143c889414056
151e545510139
hex106bad772fc

1128416113404 has 72 divisors (see below), whose sum is σ = 2979759444480. Its totient is φ = 359378993952.

The previous prime is 1128416113379. The next prime is 1128416113423. The reversal of 1128416113404 is 4043116148211.

1128416113404 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 1 + 611 + 34 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33784 + ... + 1502655.

It is an arithmetic number, because the mean of its divisors is an integer number (41385547840).

Almost surely, 21128416113404 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 1128416113404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489879722240).

1128416113404 is an abundant number, since it is smaller than the sum of its proper divisors (1851343331076).

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

1128416113404 is a wasteful number, since it uses less digits than its factorization.

1128416113404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537359 (or 1537354 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1128416113404 in words is "one trillion, one hundred twenty-eight billion, four hundred sixteen million, one hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 887 1774 2661 3548 5322 7983 10644 15966 20401 31932 40802 61203 81604 122406 183609 244812 367218 734436 1536439 3072878 4609317 6145756 9218634 13827951 18437268 27655902 35338097 55311804 70676194 106014291 141352388 212028582 318042873 424057164 636085746 1272171492 1362821393 2725642786 4088464179 5451285572 8176928358 12265392537 16353856716 24530785074 31344892039 49061570148 62689784078 94034676117 125379568156 188069352234 282104028351 376138704468 564208056702 1128416113404