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134990828448 = 25371009919891
BaseRepresentation
bin111110110111000010…
…1001001001110100000
3110220102202001121011220
41331232011021032200
54202430123002243
6142003001535040
712516125052420
oct1755605111640
9426382047156
10134990828448
1152281892443
12221b41a4480
13c963b71968
146768260480
1537a10a7783
hex1f6e1493a0

134990828448 has 96 divisors (see below), whose sum is σ = 405032947200. Its totient is φ = 38563050240.

The previous prime is 134990828447. The next prime is 134990828449. The reversal of 134990828448 is 844828099431.

134990828448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134990828447) and next prime (134990828449).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 134990828391 and 134990828400.

It is not an unprimeable number, because it can be changed into a prime (134990828447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6776583 + ... + 6796473.

It is an arithmetic number, because the mean of its divisors is an integer number (4219093200).

Almost surely, 2134990828448 is an apocalyptic number.

It is an amenable number.

134990828448 is an abundant number, since it is smaller than the sum of its proper divisors (270042118752).

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

134990828448 is a wasteful number, since it uses less digits than its factorization.

134990828448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30010 (or 30002 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 134990828448 in words is "one hundred thirty-four billion, nine hundred ninety million, eight hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 10099 19891 20198 30297 39782 40396 59673 60594 70693 79564 80792 119346 121188 139237 141386 159128 161584 212079 238692 242376 278474 282772 318256 323168 417711 424158 477384 484752 556948 565544 636512 835422 848316 954768 969504 1113896 1131088 1670844 1696632 1909536 2227792 2262176 3341688 3393264 4455584 6683376 6786528 13366752 200879209 401758418 602637627 803516836 1205275254 1406154463 1607033672 2410550508 2812308926 3214067344 4218463389 4821101016 5624617852 6428134688 8436926778 9642202032 11249235704 16873853556 19284404064 22498471408 33747707112 44996942816 67495414224 134990828448