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1914404128 = 257213194943
BaseRepresentation
bin111001000011011…
…0111110100100000
311221102021210202121
41302012313310200
512410041413003
6513544154024
765304111100
oct16206676440
94842253677
101914404128
118a26a417a
12455168914
13246807c10
14142377200
15b3105cbd
hex721b7d20

1914404128 has 144 divisors (see below), whose sum is σ = 4971093120. Its totient is φ = 717341184.

The previous prime is 1914404111. The next prime is 1914404137. The reversal of 1914404128 is 8214044191.

It is a junction number, because it is equal to n+sod(n) for n = 1914404093 and 1914404102.

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, 384825 + ... + 389767.

It is an arithmetic number, because the mean of its divisors is an integer number (34521480).

Almost surely, 21914404128 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 1914404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485546560).

1914404128 is an abundant number, since it is smaller than the sum of its proper divisors (3056688992).

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

1914404128 is a wasteful number, since it uses less digits than its factorization.

1914404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4999 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1914404128 is about 43753.9041458017. The cubic root of 1914404128 is about 1241.6843499506.

The spelling of 1914404128 in words is "one billion, nine hundred fourteen million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 76 91 98 104 112 133 152 182 196 208 224 247 266 304 364 392 416 494 532 608 637 728 784 931 988 1064 1274 1456 1568 1729 1862 1976 2128 2548 2912 3458 3724 3952 4256 4943 5096 6916 7448 7904 9886 10192 12103 13832 14896 19772 20384 24206 27664 29792 34601 39544 48412 55328 64259 69202 79088 93917 96824 128518 138404 158176 187834 193648 242207 257036 276808 375668 387296 449813 484414 514072 553616 657419 751336 899626 968828 1028144 1107232 1220921 1314838 1502672 1799252 1937656 2056288 2441842 2629676 3005344 3148691 3598504 3875312 4601933 4883684 5259352 6297382 7197008 7750624 8546447 9203866 9767368 10518704 12594764 14394016 17092894 18407732 19534736 21037408 25189528 34185788 36815464 39069472 50379056 59825129 68371576 73630928 100758112 119650258 136743152 147261856 239300516 273486304 478601032 957202064 1914404128